Find most general solution to t2 y'' - 3ty' + 8y = 20t-2 Please state any...

Find most general solution to

t² y'' - 3ty' + 8y = 20t^-2

Please state any methods you apply.

Expert Solution

Colby Messinger answered 2 years ago

A) Find the general solution of the given differential equation. y'' + 8y' + 16y =...

A) Find the general solution of the given differential equation. y'' + 8y' + 16y = t−2e−4t, t > 0 B) Find the general solution of the given differential equation. y'' − 2y' + y = 9et / (1 + t2)

Find the general solution of: x' - 9x +8y = 0 y' -24x + 19y =...

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Find the general solution to the DE: y'''+8y''+16y=0 (Hint: Find the auxilary equation first)

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Second order Differential equation: Find the general solution to [ y'' + 6y' +8y = 3e^(-2x) + 2x ] using annihilators method and undetermined coeficients.

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Find the solution of the given initial value problem. y(4) + 2y''' + y'' + 8y'...

Find the solution of the given initial value problem. y(4) + 2y''' + y'' + 8y' − 12y = 12 sin t − e−t; y(0) = 7, y'(0) = 0, y''(0) = −1, y'''(0) = 2

6) a) Find the general solution to the 2nd order differential equation y''+6y'+8y=0 [8 pts] b)...

6) a) Find the general solution to the 2nd order differential equation y''+6y'+8y=0 [8 pts] b) Find the general solution to y''+6y'+8y=2e-x. Use the method of undetermined coefficients. [8 pts] c) Solve the IVP y''+6y'+8y=2e-x, y0=0, y'0=0 [5 pts]

1. Find the solution of y" + 8y' = 896sin(8t) + 256cos(8t) with y(0) = 9...

1. Find the solution of y" + 8y' = 896sin(8t) + 256cos(8t) with y(0) = 9 and y'(0) = 9 y = ? 2. Find y as a function of x if y"' - 9y" + 18y' = 20e^x , y(0) = 30 , y'(0) = 23 , y"(0) = 17 y(x) = ?

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