Find the General Solutions to the given differential equations y(t) = a) 6y' +y = 7t^2...

Find the General Solutions to the given differential equations y(t) =

a) 6y' +y = 7t^2

b) ty' − y = 9t²e^−9t, t > 0

c) y' − 8y = 9e^t

d) y' + y/t = 6 cos 5t, t > 0

Expert Solution

According to the rules only first question will be answered. I tried my level best. Please upvote

Colby Messinger answered 1 year ago

Find a general solution of the following equations: A. y′′′ +6y′′ +11y′ +6y = −e^-t B....

Find a general solution of the following equations: A. y′′′ +6y′′ +11y′ +6y = −e^-t B. y′′′ + y′ = t.

1)Find the general solution of the given second-order differential equation. y'' − 7y' + 6y =...

1)Find the general solution of the given second-order differential equation. y'' − 7y' + 6y = 0 2)Solve the given differential equation by undetermined coefficients. y'' + 4y = 6 sin(2x)

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

Use variation of parameters to solve the following differential equations y''-5y'-6y=tln(t)

Find the general solution of the equations: a) y'' + 6y' +5y = 0 b) 16y"...

Find the general solution of the equations: a) y'' + 6y' +5y = 0 b) 16y" - 8y' + 145y = 0 c) 4y" - 4y' + y = 0

Find the general solution to the differential equation below. y′′ − 6y′ + 9y = 24t−5e3...

Find the general solution to the differential equation below. y′′ − 6y′ + 9y = 24t−5e3 Calculate the inverse Laplace transform of ((3s-2) e^(-5s))/(s^2+4s+53) Calculate the Laplace transform of y = cosh(at) using the integral definition of the Laplace transform. Be sure to note any restrictionson the domain of s. Recall that cosh(t) =(e^t+e^(-t))/2

Question

Find the General Solutions to the given differential equations y(t) = a) 6y' +y = 7t^2...

Solutions

Expert Solution

Related Solutions

Find a general solution of the following equations: A. y′′′ +6y′′ +11y′ +6y = −e^-t B....

1)Find the general solution of the given second-order differential equation. y'' − 7y' + 6y =...

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

Use variation of parameters to solve the following differential equations y''-5y'-6y=tln(t)

Find the general solution of the equations: a) y'' + 6y' +5y = 0 b) 16y"...

Find the general solution to the differential equation below. y′′ − 6y′ + 9y = 24t−5e3...

Find the general solution of this differential equation: y'''+y''+y'+y=4e^(-t)+4sin(t)

Find the general solution of the following equations: y′′ −4y′ +4y=0; y′′ −5y′ +6y=0; y′′ −...

Second order Differential equation: Find the general solution to [ y'' + 6y' +8y = 3e^(-2x)...

Find the general solution to the following equation: y''' + 3y''−4y'−6y = cos(t)