(D² + 4) y = tan 2æ

Q: Solve the following homogeneous partial differential equation (D² + D'² )z = 0

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Q: 1 dy = (64xy) 3 dx

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Q: Find the particular solution to the following differential equations given their boundary conditions…

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Q: Find the general solution of the following differential equation dy -4y + (r² + 1) e- dt

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Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: Find the general solution of the following differential equation: dx + 4t- + (t2 + 2)x = e*. dt2 dt

A: We are given a second order linear non-homogeneous differential equation. And we have to find the…

Q: 7. x³e³x cos 3xdx + √y. -dy=0

A: Given differential equation x3e3xcos3xdx+1y-1dy=0 The objective is to find the solution of the…

Q: Find the General Solution of the given exact differential equation. dy (8x + 7) + 2y= x da

A: We have to find the general solution of the given differential equation

Q: Find the differential equations of the following general solutions. 1. y= cex + Cze 2x 2. ye2x-2 cos…

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Q: Solve the following second-order linear differential equations by the method of reduction of order.…

A: (1).   The given differential equation is: D2+1y=csc(x)

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 1 (D² + 3D + 2)y= sin ex

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Q: determine the general solution to the given differential equation on (0,∞). Q. x2y′′+xy′+16y =0.

A: Given, the differential equation x2y’’ + xy’ +16y = 0. We have to find the general solution of given…

Q: y" + 10y' + 21y = 0

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Q: 1. y' + 4xy = xe*²y²

A: Use Bernoullie method to solve

Q: Find the differential equations of the following general solutions. (y −x)3=cx

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Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

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Q: y" +y = 1.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: b) Find the specific solution to the following 2nd order non-homogeneous differential equation d²y -…

A: According to our policy, we are allowed to do one question at a time . Kindly repost other problem…

Q: Obtain the general solution of the following higher order differential equation. 5. (2D4 – 128D)y =…

A: We have to find the general solution of the 4th order differential equation 2D4-128Dy=0 where D=ddx.…

Q: Solve the following non-homogeneous differential equation: x2y''-2xy' + 2y = x3 In x.

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Q: 4 3 dy = (y² + 1) cos(x) y dx хр

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Q: 5. (D³ - 2D+4)y=0; y = -2, Dy= 8, D²y = 0, when x = 0

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Q: Find the general solution of each of the following differential equations: LINEAR DE dx 4х = y5 dy у

A: For the differential equation of the form, dxdy+p(y)x=q(y) , the integrating factor, μ(y) is defined…

Q: 4. (D? — 3D + 2) у — 14 sin 2a 18 cos 2x

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Q: Find the General Solution of the following differential equations:: 2(2x² + y²)dx – xy dy = 0

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^2 – 2D + 1)y = 0 ; when x = 0, y =…

A: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^2 – 2D + 1)y = 0 ; when x = 0, y =…

Q: (2xy-y^)dx=(x²+xy²)dy=0

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Q: (D² – 3D+ 2) y = 14 sin 2x – 18 cos 2x 5. (D² + 25) y = sin x + cos 2x

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Q: (D2 – 4D + 3)y = 20 cos x

A: See the solution. Hope you will understand easily.

Q: Find the general solutions of the following differential equations. d 1. dy = 6 x + 3 dx( dx,

A: As per guidelines we have to solve the problem

Q: Find the general solution of the following differential equation 3x(x + 6y)y' = 3y(x - 6y)

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Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

Q: 1. y(4x + y) dx - 2(x2 - y) dy = 0 %3D

A: We have y4x+ydx-2x2-ydy=0 This can be written as 4xy+y2dx+-2x2+2ydy=0 A differential equation of the…

Q: Show that the following first order differential equation (xe" + 2ye")dy + (yxe" + ye" + y²e") dx =…

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Q: Find the particular solution of the following differential equation ( xy^2 - x ) dx - ( 2x^2y - 3y…

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Q: dy - 2xy = x + e**

A: Given that a linear differential equation we solve this equation and find particular solution . Here…

Q: Find the general solution of the given second-order differential equation. Зу" + 2y' + у %3D0 y(x) :…

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Q: :) x(x² + 1 )y' + 2y = ( x² + 1 )

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Q: x dy – (2x In x + y) dx = 0

A: Let's find.

Q: Find a particular solution of the following differential equation. y" – 3y' – 4y = 3e2t

A: if differential equation,                   f(D)y=eat  then Particular solution =(1/f(D)) eat  if…

Q: Find the particular solution of the following differential equation ( xy2 - x ) dx - ( 2x2y - 3y )…

A: The given differential equation,        xy2-xdx-2x2y-3ydy=0 ;   y(1)=2

Q: Find a set of solutions to the following differential equations 1. (x2+ 6y2) dx - 4xy dy = 0 ; when…

A: We have to find

Q: Show that the following first order differential equation (xe + 2ye") dy + (yxe + ye" + y²e*) dx = 0…

A: Given that: (xex+2yex)dy+(yxex+yex+y2ex)dx=0

Q: Find the general solution of the following differential equation. a*y" + x²y" – 2.ry' + 2y = 2x² -

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Q: Find the general solution of the following differential equations. 1. (2x – 2y – 3)dx = (2x – 4y –…

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Q: 1 dy = (64xy) 3 dx

A: Please see the answer below.

Q: Find the specific solution to the following 2nd order non- homogeneous differential equations b) d²y…

A: Given d2ydx2 + y = sin(x)

Q: Q1/ Find the solution of the following Differential Equations 1. x' + 2x = cos(y) 2. xy' = 2x + 2y

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the general solution for the following ordinary differential equations: x2 dy/dx +…

A: I used the method of partial fraction to solve the integral part

Q: Find the General Solution of the following differential equations:: (x - y)dx + (3x + y)dy= 0

A: x-ydx+3x+ydy=0⇒dydx=-xx-y3x+y⇒dydx=y-xy+3x⇒dydx=yx-1yx+3Let y=x⇒dydx=x dvdx+v⇒x…