ﬁnd the general solution of the given differential equation 1. 2y''+3y'+y=t^2 +3sint ﬁnd the solution of...

ﬁnd the general solution of the given differential equation

1. 2y''+3y'+y=t^2 +3sint

ﬁnd the solution of the given initial value problem

1. y''−2y'−3y=3te^2t, y(0) =1, y'(0) =0

2. y''−2y'+y=te^t +4, y(0) =1, y'(0) =1

Expert Solution

Colby Messinger answered 2 years ago

ﬁnd the general solution of the given differential equation 1. y''+2y'=3+4sin2t 2. 2y''+3y'+y=t2 +3sint

ﬁnd the general solution of the given differential equation. 1. y''+2y'−3y=0 2. 6y''−y'−y=0 3. y''+5y' =0 4. y''−9y'+9y=0

given the 3rd order differential equation: y''' - 3y'' + 2y' = ex / (1 +...

given the 3rd order differential equation: y''' - 3y'' + 2y' = ex / (1 + e-x) i) set u = y' to reduce the order of the equation to order 2 ii) solve the reduced equation using variation of parameters iii) find the solution of the original differential equation

find the general solution of the given differential equation. 1. y'' + y = tan t,...

find the general solution of the given differential equation. 1. y'' + y = tan t, 0 < t < π/2 2. y'' + 4y' + 4y = t-2 e-2t , t > 0 find the solution of the given initial value problem. 3. y'' + y' − 2y = 2t, y(0) = 0, y'(0) = 1

ﬁnd the solution of the given initial value problem 1. y''−2y'−3y=3te2t, y(0) =1, y'(0) =0 2....

ﬁnd the solution of the given initial value problem 1. y''−2y'−3y=3te2t, y(0) =1, y'(0) =0 2. y''+4y=3sin2t, y(0) =2, y'(0) =-1

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′...

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′ + y = et/(1 + t2)

Solve the differential equation using the Laplace transform. y''' + 3y''+2y' = 100e-t , y(0) =...

Solve the differential equation using the Laplace transform. y''' + 3y''+2y' = 100e-t , y(0) = 0, y'(0) = 0, y''(0) = 0

Solve the given differential equation by undetermined coefficients (superposition approach) y'' + 2y' − 3y =...

Solve the given differential equation by undetermined coefficients (superposition approach) y'' + 2y' − 3y = (x^2 + x + 1) + e^−3x

2. Find the general solution to the differential equation x^2y''+ y'+y = 0 using the Method...

2. Find the general solution to the differential equation x^2y''+ y'+y = 0 using the Method of Frobenius and power series techniques.

Solve the differential equation by variation of parameters. y'' + 3y' + 2y = 1 4...

Solve the differential equation by variation of parameters. y'' + 3y' + 2y = 1 4 + ex y(x) =

Question