What is the annihilator for y=x e*cos 2x? A (D2+5)2 B D2+5 D2-2D+5 D (D²-2D+5)2

Q: 8y'' - 12y' + 5y = 6 cos t

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Q: cos (2t + ) dt e21–3 %3D 4 -3 4 64e3 7.

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Q: Find the solution to the Bernoulli Equation. (3siny - 5x)dx + 2x²cotydy=D0 O x³(siny- x)2 = Csin?y O…

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Q: Q6: Determine a particular solution of the equation d'y +4y 4x cos 2x dx Using D-operator method

A: The solution is given as

Q: 3. If 2 = x² – x* + 6x – 5, then dty evaluated at x = 1 is dx4 dx (А) 8 (B) 36 (C) 96 (D) 120

A: To calculate the nth derivative of function y, differentiate y four times with respect to…

Q: What is the integrating factor of the equation (2xy*ev + 2xy³ + y)dx + (x²y+ev – x²y² – 3x)dy = 0 A…

A: We have to choose the correct answer from the given option according to the given condition

Q: b) Golve: 4x°y*+4x°4- sx y' + 24= 60x?+8x +1 on Co,00) (2) vsing the Method of Uaniation of…

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Q: d²x_dx Verify that x = C,e¬t + C2e2t is a solution to dt2 2х — 0. - dt

A: To verify the given statement.

Q: The integrating factor of the linear DE dy - 8y = 5 cos x, dx is the function µ(x) = e-8z Select…

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Q: Find the valve of k so that (2y sın x cos x -y + 2 y e** ) dx - (x - sın' x + kxye*) dy 0 becomes…

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Q: (xy² + 3y²)dy – 2x dx = 0 is not separable. ylgn ihi

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Q: x'e* cos 3xdx + -dy = 0 Vỹ - 1 %3D

A: In this question, we solve the separable differential equation by direct integral. the differential…

Q: Q3 (d^2 y)/(dx^2) - 2dy/dx of Undetermined Coefficient) 20e^(-x) cos(x), y(0) = 0 = y'(0) (Use…

A: we have to solve given differential equation by using method of undetermined coefficient

Q: I-x² f (x, y, 2) dz dy dx 1-x² Jo

A: we have to find the region of integration

Q: Transforming A S B © D dx secx + 1 7 dz 1-2² 1==323d² -dz 1+z² [1+2²21 2-272 1+z² -dz -dz using…

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Q: 2. Find the General Solutioh oG (əx -3y-2) dx-Cx-2y) dy =0

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Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

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Q: Compute dy/dx using the chain rule in formula. State your answer in terms of x only.  y = u3>2, u…

A: Given equations - y = u3+2           .....(1)                                                  In…

Q: What is the integrating factor of 2 (y – 4x²) dx + ædy = 0? | Oe O 2r

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Q: Solve the DEQ given the initial condition (2,0). Graph it on the slope field. 11 « 10 Let…

A: dydx=g(x,y)g(x,y)=ey(3x2) - dydx=ey3x2Separating the…

Q: The standard form of 3dy-xydx= 3y%e*/3 by Bernoull's equation is: dx A Зе dy xy = 3e**/3,3 dx 3 x-…

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Q: b. y = cosh(arctan 3x) C. y = 4a/ cosh a d²y d. for x = 4v2t2 + a, y = a² – t² dx2 %3| -

A: Given functions are  b) y=cosh(arctan3x) c) y=4acosha d) d2ydx2 for x=42t2+a , y=a2-t2

Q: solve the DE:   (2y^3-x^3)dx+3xy^2dy=0 ; y(1)=1 using 3 methods.

A: Let's find.

Q: dx —х +3у dt 13. Find the general solution dy -3x+5y dt ||

A: The objective is to find the general solution of system of differential equations…

Q: Q4: Find the general solution of d?y dy - 3 - 4y 3e2t + 2sin t - 8et cos 2t, dt dy y(0) = 2, (0) %3…

A: Given that  The differential equation  To find the general solution

Q: O1 Find: fx³ cos x dx using Integration by parts b. ſ cosx? 2x dx using Substitution Method a.

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Q: Find F′(x).

A: Given- Fx=∫02xcost4 dt To find- F'x Concept Used- The Leibnitz's theorem as  ddx∫gxhxft…

Q: sin(2t + ) dt JT 2 e2t-3 -3 4 e3 7 7 64e3 7 8. 5 4 4

A: Proceed as shown

Q: y' + 4y = e^(4t) %3D

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Q: 2. In each exercise, obtain the particular of solution. a. xy dx + 2(x² + 2y²) dy = 0; when x = 0, y…

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Q: dy a) If all of y = 4n2 + 5n + 1,x 3n + 2 find dx b) if yx2+Vx + xy? = 1 prove that = -at (1,-1)

A: Please see the answer below.

Q: A ) Find ſ cos 5t dt dy B) If y = x² +; , x= 2t -5 then find dt

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Q: df Q4) A) Find dx by using chain rule if f = , u=-1 , x=-1 u+1 B) Evaluate the following integral:…

A: A) To find the derivative of the given function f=u-1u+12 with u=1x2-1

Q: What is the general solution of (D² – 2D + 5) y = 0 ? - y = Cie + C2e3 %3D y = Cie cos 2x + C2e sin…

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Q: 3. Integrate! 12e dt a) ] 5e041 -0.21 b) c) f- dx 6r dr 3r? .$1+ In 3x² d) [Vcot*0 •csc² 0 do 2+…

A: Using Methods Of Integration

Q: XZ 3) cos(x)-x²y + e + yz = 4, P (0,1,2)

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Q: Q 3. A. Find 1. £(t2 – 4t + 5)u(t – 3) 2. y-y +2y cos 3x - sin 3x 3. E-- s2 s+1

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Q: a) z=4x²-9x²y+2y³, com x=2 sen(t) e y=cos (t); b) w=xe, com x=4t², y=5e²¹ e z=2t². c) z=x y²+2x²,…

A: Introduction: When the independent variables of a function is again dependent on a single parameter,…

Q: dy Va2-x2 with initial condition y(a) = 0. dx -a va2-t2 dt This can be solved by y = J %3D II

A: From the above question, we get the differential equation dydx=-a2-x2x with the initial condition…

Q: Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Given  data  xey+2z-cos(xy)+ey-ln2=4  ,  A(ln2,0) Also given  when x changes by (dx=0.01) and y…

Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

A: Given simultaneous equation, dxdt=3x+2ydydt+5x+3y=0 The eigen value of a matrix is calculated by…

Q: •ý -2ý +y= ě sinx %3D Ans: y=ě +2xě - ě sinx • ý -uý ruy = 12 /* %3D e 2X 2 ZX .2 +C2 X e + 20

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: (sın 2y - 2x cos 2y) dx +( 2x coS 2y + 2xsın 2y)dy=d when x= 2, Y = T 3. COS %3D

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Q: me general solution of (D²-2D+1)y=2sin > A y=c1eX +C,xe* + sinx+cos x y=C1eX +C,Xe* + sinx ©…

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Q: (ii) (D² + D')u = cos px cos qy u = cos px cos gy (iii) (D²- DD'- 2D)u = (v - 1)e*

A: In the given question we have to find the solution of second and third part of the given question,…

Q: Solve for x = u + 1 and y = 2u² - 4u d²y dx² with respect to the parameter u

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Q: dy Use first approximate Picard's method to solve- dx +3y, y(0)=2. .a +6x+ 2 2 .b None of these .c +…

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Q: Which one is the differential operator for the equation d²y dy 2x dz r + y = 0 ? dz² 2²D² – 2xD+1 x2…

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