1 olve for the differential of y when y = sinxx, x=-, and dx=-. 2 3 A 2 В 4 C 2 D 4

Q: 4. Find the general solution of the differential equation dy + y cot r = 1, dr COs z recalling that…

A: We can find the answer as below

Q: What is N(x,y) for the following differential equation: x(1 – sin y)y' = (cos x – cos y – y) %3D

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Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: Estimate Ay using differentials. 11-x5 2+x5 (Give your answer to four decimal places.) Ay ≈ y =…

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Q: Consider the differential equation d'y dy dr² dr - 12y= 13sinx+cost. Given that the complementary…

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Q: Solve the following differential equation ý +y= , y(0) = 0, y (0) = 1 sin sin cos1 + ain 3 sin t y()…

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Q: 22. An important and very useful exact differential to (2y? +2x² + y)dx – xdy = 0 a. InX %3D C. InY…

A: We know, xdy-ydxx2=dyx dx1+x2=tan-1(x)

Q: 3) Find the differential and evaluate for the given x and dx. 3x+2 x= 0, dx=0.1 Vx+1 y =

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Q: 4 If y = In(8+ x4), find the differential dy. Your answer will be in terms of x and dx. Enter dæ as…

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Q: 3. Is the expression (ez+y+z +4x²y²2²)dx+(e²+y+z +r’yz²)dy+(e²+y+z+³y²z)dz = 0 %3D exact? If yes,…

A: Given expression is ex+y+z+4x2y2z2dx+ex+y+z+83x3yz2dy+ex+y+z+83x3y2zdz=0 To verify whether the above…

Q: Consider the differential equation dy (t – 81) + 5ty = sin(t) with y(1) = 2t. %3D There exists a…

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Q: Find U from the differential equation and initial condition.

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Q: 7. Which of the folowing differential equationsis ex act? a. y°e*dx + e*dy = 0 c. sin x sin ydx +…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. Given: (a). y2exdx+exdy=0 So,…

Q: 1. Find the differential of w = x cos y – y sin x.

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Q: What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+xcotx) y…

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Q: 10) For y=v+8, use the differential dy to approximate Ay when x changes from r=1 to x=0,97

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Q: ve the tollowing differential equations: sin*x cos ydx + cos 2xdy%3D0

A: We are authorized to solve only one question, please repost remaining questions Differential…

Q: 8. The velocity of a particle, vms-1 at time t seconds satisfies the differential equation. dv…

A: The given differential equation is tdvdt=v+t , t>0, At t=2, v=8. To Show:  When t=8, v=16(2+ln2).…

Q: dy Solve for the general solution of the differential equation (ax+by+c)² where a, b, c e R dr and…

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Q: fy = f(r), how do we define the differential dy

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Q: aM _ƏN, Consider the differential equation (y+ 1) e*dx = (e* + 1)y dy What is %3D ду A ex (1 + у) e*…

A: Given:     To determine:

Q: 7. Find the differential dy for y = x2 – 4x + 6, then evaluate it when x = 2 and dx = 0.1 -

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Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

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Q: 6. If f( x, y) = V x° + 1 y², estimate the value of f( 2.06 , 4.97 ) using the differentials.

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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Q: Q.1. Use the differential dy to approximate Ay when y=V3x-2 and x changes from 2 to 2.03

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Q: 30. Find an equation for the tangent plane to z = f(x, y) at (3, -2) if the differential at (3, -2)…

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Q: Find the solution of the following Differential Equn 3) y'+2y = cos(x) 4) y' = (y-1) cot(x)

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Q: Find the differential of the function f(x, y) = 3xe2y at the point (5, 3) using Ar = 0.25 and Ay = (…

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Q: # 3 Let y tan(3x + 6). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy…

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Q: olve the following differential equation y" + 3y' + 3y = et sint, y(0) = 0, y'(0) = 1

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Q: olve the following differential equations of 2 • dx+ 2(xe" – y)dy =0;

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Q: odr bni (d) d²y 16. y=5 sin x +2 cos x, dx2 +y=0

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Q: dy Consider the differential equation da 2z (A) At the point (1.5, – 1.5), the direction field has a…

A: As we know, the slope of the direction field or the slope of the tangent line at the point (x0,y0)…

Q: Q.1. Use the differential dy to approximate ay when y=3x-2 and x changes from 2 to 2.03

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Q: The velocity v and time t are related by the first order differential equation below. Find the…

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Q: 1. Use the differential df to approximate the change in the value of f(x,y) from the point (1,0) to…

A: We will be using definition.

Q: By using variation of parameters, what is a possible value for u, for the differential equation y" +…

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Q: SLOVE 18. Differential equation: d'r = -(i + j + k) dr? %3D Initial conditions: r(0) 10i + 10j + 10k…

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Q: 8) Let z = y-x². Use differentials to estimate dz when x = 1,y = 5, dx = 0.03, and dy 0.1. !! %3D

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Q: 24 ue'sin(s + 2t)

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Q: Let y = 4.x?. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1…

A: Given: y=4x2 To find the change in y, ∆y  x=1 and ∆x=0.4

Q: 5. a) Determine whether the given differential equation is exact. (sin. x)" dy 1+cos y = 0. dx

A: Given: sinxdydx+1+2xcosy=0

Q: y' + 48y = e 5x sin x 5x differential operator that will annihilate the nonhomogeneity sin x.

A: In the given question, concept of Annihilator method is applied. Annihilator Method The annihilator…

Q: (2) Find the differential of each of the following functions. In other words, for each of the…

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Q: Consider the differential equation dy y= cos T such that for x = sin a da 2.4 2 Let u be the…

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Q: What is of the differential equation 2z (3z + y - ye) de + (x? + 3y + e ) dy = 0? O 2z 4xe O 21 6yc…

A: This question is based on Differential equation.

Q: Q.3: Find a general solution to the following differential equatio et ÿ- 2y + y = %3D t2+1

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Q: Q: If In/x2 +y2 =sec(), use implicit differential to proof the following: - dy (²+y*). sec?. tan?…

A: lnx2+y2=secyx