Question

Solve the differential equation

(2x+y′+3)y′′=3x+4y′−1

Answer #1

Solve the differential equation y"-4y'-12y=sin(2x)

(differential equations): solve for x(t) and y(t)
2x' + x - (5y' +4y)=0
3x'-2x-(4y'-y)=0
note: Prime denotes d/dt

Solve the differential equation by variation of parameters.
y'' + 4y = sin(2x)

Solve the given differential equation by undetermined
coefficients.
y''− 4y = 8e^(2x)

(b) Solve the separable differential
equation
y'=
(7e^-3x+2x^2-xcosx)/-6y^3
(c) Solve the IVP
x(1-siny)dy=(cosx-cosy-y)dx
.
y(π/2)=0

Solve a Differential Equation by the Method of Undetermined
Coefficients.
y'' - 4y= 2-8x-cos(2x)

Solve the given differential equation by undetermined
coefficients.
4y'' − 4y' −
35y = cos(2x)

If
y1= e^-3x is a solution of the differential equation y "'+ y" - 4y'
+ 6y = 0. What is the general solution of the differential
equation?

Solve the differential equations
(2D^2 + D - 3)y = 2x - 3x^2

Solve the given system of differential equations by
elimination.
x'-2x-y = 1
x+y'-4y=0

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