4 Solve for the general Solution : 3x²ydx + (y* – x³)dy – 0 Select the correct response: ,3 4. O x° + y* Зсу o 3. + y* = CY o 3x + 3y* = CY n r° + 3u4

Q: Determine |-5 (cot2 (4x + 7) + 1) dx.

A: Given∫-5cot2(4x+7)+1dxUsing identity :1+cot2x=csc2x=∫-5csc2(4x+7)dx

Q: Fincl the general equation of y) + 3y? - 10y -0

A: Let's find.

Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

Q: Differentiate: y = V6x8 4x6 - y' = (16z" - 8a") (628 - 42°)2 %3D O y = 48z7-24x5 (6z-4z ) Oy = (4827…

A: We have to find derivative

Q: Obtain the general solution. 1. (D^4 - 5D^2 - 6D - 2)y = 0 2. (D^2 - 2D + 2)y = 0

A:

Q: R = BYn+Ssyn B + 2yn (1+5²) 1/2 22.9Yn+4yn² 22.9+2yn (1+4211/2 12833 = (22.9 yn + 4yn²). 1.…

A:

Q: 2. (3ху + Зу — 4) dx + (х + 1)? dy %3D 0. ANS. у 3D 2(х + 1)-1 + c(x + 1)-3.

A:

Q: 11. y = 5 3 * tn() 15 2x А. Inin 8 (35 С. Inin 15 (3" g") 2/x В. 15)(15) D.

A:

Q: 6. (3х — 1)у' —D бу — 10(3х- 1)1/3. ANS. y = 2(3x – 1)1/3 + c(3x - 1)?.

A:

Q: Kindly answer B- #6 I- #1

A:

Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: (3 da + dy = 0, y(-1) = 2. (y-2x) ry? %3D %3D 3.

A:

Q: Without solving, classify the following equations as to: separable, homogeneous (the gree), exact,…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Eliminate the arbitrary constants: y + c,x + c2x² а. ху" + 2ху' — 2у %3D0 b. ху" - ху' + 2у %3D0 c.…

A:

Q: Solve: x dr 2y = 2x; y (2) = 8 O y = 2z' – 54 y = 2x' + 54

A: We need to solve the following differential equation.  So,               xy' -2y=2x7⇒y' -2xy=2x6…

Q: dy 7x - x + 10x + 4 .3 Find if y = DO NOT dx x2 + 6x + 1 SIMPLIFY.

A:

Q: Q/ find the root of the equation by false position y = x3 – 6x² + 10x – 4 ɛ<0.001 for above…

A: Given,  The equation is  y=x3-6x2+10x-4 we have to find the root of equation using false position…

Q: x³y³dy у2— 4у-21 (x – x4y)dy + (y + x³y²)dx :

A: See the solution and follow the step.

Q: 5. Find the general solution of (x +y +1) dx +(x - 3y - 7) dy = 0 x2 - A. x2 + 3y? + 2xy + 2x - 14y…

A:

Q: Solve zx+zzy= 2x, z(0, y) = y

A:

Q: Find the general solution of the D.E. ye? dx = (4+e2") dy Show your solutions on a separate sheet of…

A:

Q: Solve for the particular solution of the given IVP: O (t^2+y^2)^1.5 - 3ty = 89 O (t^2+y^2)^3 - 3ty =…

A: The given initial value problem is: dydt+y-tt2+y2t-yt2+y2=0 ;       y(4)=3

Q: (x* + 2y) dx – x dy = 0. ANS. 2y = x* + cx². %3D

A: We will find out the required solution.

Q: aN) 1 dx ) M 5 ду y

A:

Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

A:

Q: 5. Find the general solution of (x + y+ 1) dx + (x – 3y – 7) dy = 0 x? - 3y2 + 2xy + 2x x2 + 3y2 +…

A: To find  The general solution of the given differential equation.

Q: Solve for the general solution: 6 D^3 - 13 D^2 + 6 D = 0. O y = cle^x + c2e^(2/3 x) + c3 e^(3/2 x) O…

A:

Q: solve the ODE using the Method of Undet Coefficients. Clearly label y, and y, and then state y =…

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

A:

Q: V24x'y³ • J50x² y° V40m²n • V50m n V28.x*y" 7xy 4 V42 75.xy* V3x 5. 3. 4.

A:

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: Solve: y''+ 2y' – 8y = – 32t + 56 y(0) = – 9, y'(0) = 28 y(t) =

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Q: Determine u and du. Show solution

A: