(D2+3D+2)y=cos(2x) Could you please solve this differential equation as 1. Successive Integration 2. Method of Parameter...

(D²+3D+2)y=cos(2x)

Could you please solve this differential equation as

1. Successive Integration

2. Method of Parameter variation

3. Method of Undetermined coefficients

Just one way is also thankful!

hint:

Expert Solution

We have found out the solution of the given Non Homogeneous differential equation with constant coefficients with the help of rhe Method of parameter Variation.

First, the complementary solution yc(x) is to be found out with the help of the characteristic equation of the associated Homogeneous differential equation.

Let yc(x)= C1 y1 +C2 y2

The particular solution is given by yp(x)= u1 y1 + u2 y2

The step by step explanatory solution is provided below

milcah answered 1 year ago

Solve the differential equation: y' + 2y = cos 5x

Solve the differential equation 2x^2y"-x(x-1)y'-y = 0 using the Frobenius Method

Solve the following Differential Equation a. ?′ = sec ? cot ? b. ?′ = ??-y(cos(?2))...

Solve the following Differential Equation a. ?′ = sec ? cot ? b. ?′ = ??-y(cos(?2)) ; ?(0) = 0 c. ?′ = ?(2 − ?) d. ?2 + dy/dx = (y2 )/(1+x2) ; ?(0) = 1 also find the solution where ?(0) = 0

Using method of variation of parameters, solve the differential equation: y''+y'=e^(2x) Find the general solution, and...

Using method of variation of parameters, solve the differential equation: y''+y'=e^(2x) Find the general solution, and particular solution using this method.

y'=√2x+y+1 general solution of differential equation

Use the variation of parameters method to solve the differential equation: y''' - 16y' = 2

Solve the following differential equation using the power series method. (1+x^2)y''-y'+y=0

Solve the given differential equation, by the undetermined coefficient method: y"-4y'+4y=2x-sen2x (Principle of superposition)

Solve the differential equation by variation of parameters. y'' + 3y' + 2y = cos(ex) y(x)...

Solve the differential equation by variation of parameters. y'' + 3y' + 2y = cos(ex) y(x) = _____.

Solve the following differential equation by the method of undetermined coefficients: y′′ −2y′ +y=(2x)e^x +e^x(sin2x)

Question