find a particular solution of y"-9y=-6 cos3x *

Q: 1. Find the general solution of y'= cos²xcosy

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Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(8y) dy =…

A: Let's solve given diffrential equation.

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(9y) dy =…

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Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

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Q: 3. Find the general solution of y" – 3y + 2y = cos (e~-).

A: We use the method of variation of parameters to find the solution of y''-3y'+2y=cose-x First we find…

Q: Find the general solution of the DE y’’ = xsin(x)

A: Topic = Differential equation

Q: Find the solution of the given initial value problem in explicit form. sin(2x) dx + cos(9y) dy = 0,…

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Q: 2. Find the particular solution of sin y(x+sin y) dx +2x² cos ydy = 0 :3(-1) = 2

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Q: e- + cos (xy) = (4 – 3z) (2 + 2.x), UIM 4. find ду ÚTM az cos (ху) — (4 — 32) (2- 8 UTM UT UTM

A: Partially Differentiate with respect to y

Q: Find the particular solution of (cos x x sin x + y2) dx + 2xy dy = 0 that satisfies the initial…

A: Please see the explanation below

Q: Find the solution of the given initial value problem in explicit form. sin(2x) dx + cos(6y) dy = 0,…

A: The given initial value problem in explicit form is sin2xdx+cos6ydy=0, yπ2=π6. Find the solution of…

Q: Solve the initial value proble = sin (5x +x), y=3 whe OA. y= 1 cos (5x +x) O B. y= - cos (5x + x) +…

A: Given: dydx=sin(5x+π)y=3, when x=0

Q: Solve the he o-3D+4)y(x) =x cos(2x) equation y,(x)=(6x+4)sin( *+4)sin(2)-cos(23) - y,(x) =(-6x-4)…

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Q: Find the complete solution of yn+4y=ex sin2x

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Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x + n IN

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Q: 2. Give the general solution of xy'dy = (x³ +y³)dx in explicit form.

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Q: 7. Obtain the solution of (D² – 4)y = 16 + cos 2x using the method of undetermined coefficients %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2.- Find the solution of the initial value problem: y + ycost =D 극 sin 21, y(0) = 1

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Q: Find the solution of the given initial value problem in explicit form. π sin(2x) dx + cos(9y) dy =…

A: Given: Now,                sin(2x)dx+cos(9y)dy=0Integrating both sides we…

Q: 1. Find the general solution (5x*y – sin (x))dx +(2x°y-cos (y))dy = 0

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Q: How can I find the particular solution of y''+36y=cos(6x)

A: How can I find the particular solution of y''+36y=cos(6x)

Q: 4. Obtain the particular solution of (D² + 4) y = sin x + sin 2x

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Q: 5.. Find the general solution to the DE using the method of Undetermined Coefficients: y" – 4y = te'…

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Q: Find the particular solution of the nonhomogeneous ODE. y"-4y' + 3y = x² + e* + sin2x

A: We will find out the required particular solution.

Q: Solve the initial value problem: cos z – 3x?y – 2æ) dx + (2y sin x – x° + In y) dy = 0; y (0) - -- -…

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Q: 2. Solve the initial value problem dy cosz+y sin z = 2z cos²z, y(0) = 5.

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Q: 2. If y = C₁ cos2x+C₂ sin 2x+2sin x is the general solution of a certain nonhomogeneous LDE, which…

A: The given general solution of non-homogeenous  LDE.  y= c1cos2x +c2sin2x +2sinx   We have to find…

Q: 11. Find the general solution of uyy - 4xu, = cos 2y – 2x sin 2y + 4x.

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Q: 2. Find the particular solution of (3sin y- 5x) dx+2x cot ydy = 0 ;y(-1)=-

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Q: Obtain the General Solution of: (z + 2)* cos yudz - [sin y In(3z 4 6) – d

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Q: 9. Use the method of undetermined coefficients to solve the given system sin t X' X + %3D -2 cos

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Q: he Solve the y)-Sy'(x)+8y(x)-4y(x)-xcos(x) equation y,0)-cos(x)+xsin(x)- 41 19 sin(x)+ cos(x)…

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Q: 2 Find the general Solution of yty = 2xcosx -CosX %3D

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Q: Solve the initial value problem.

A: To solve the initial value problem.

Q: Find the solution of the given initial value problem in explicit form. 71 ㅠ sin(2x) dx + cos(6y) dy…

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Q: 4. Find a particular solution of y" + y' = cost cos 2t cos 3t.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the solution to the initial-value problem. dy - y²e% sin(8x), y(0) = 1 dt %3D 1- te sin (8x)

A: Given

Q: Find the solution of the given initial value problem in explicit form. 77 ㅠ sin(2x) dx + cos(8y) dy…

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Q: y'+ytan(x)=cos^2(x) ,      y(0)=-1

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Q: Find the solution of the given initial value problem in explicit form. sin(2r) dr + cos(5y) dy = 0,…

A: Find your answer below

Q: Find the solution of the given initial value problem in explicit form. 75 π sin (2x) dx + cos (7y)…

A: The given initial value problem is                        sin2xdx+cos7ydy=0,  yπ2=π7 We have to find…

Q: 3. Find the general solution of y"-3y'+2y = e* cos x [using variation of parameters]

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Q: Find the solution of the given initial value problem in explicit form. sin(2x) dx + cos(9y) dy = 0,…

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Q: What is the particular solution of (Dª + 4D² – 1)y = 44sin3x O a. sin3x O b. cos2x O c. cos3x O d.…

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Q: 2. Give the general solution of xy dy = (x³ + y³)dx in explicit form.

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Q: 4 Give the general solution to x²y' + xy = -2 cos(2x) y¯2

A: The solution is given as

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(7y) dy =…

A: Here we use basic integral to find the solution.

Q: Find the general solution of (x + y) cos ydr + (a cos y - sin y)dy = 0. |3|

A: Differential Equation: A differential equation is an equation that contains one or more terms and…