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Popular >

(D^2-3D)y=-18x

Solution

(D^{2} - 3 D) y = - 18 x

Solution

y = c_{1} e^{3 x} + c_{2} + 3 x^{2} + 2 x

Solution steps

(D^{2} - 3 D) y = - 18 x

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} + 3 x^{2} + 2 x

y = c_{1} e^{3 x} + c_{2} + 3 x^{2} + 2 x

Graph

Popular Examples

y^{''}-7y^'+12y=e^{3x}+e^{4x}

y^{^{''}} - 7 y^{^{'}} + 12 y = e^{3 x} + e^{4 x}

y^{''}+9y=e^{-2t}

y^{^{''}} + 9 y = e^{- 2 t}

y^{''}+6y^'+73y=80e^xcos(4x)

y^{^{''}} + 6 y^{^{'}} + 73 y = 80 e^{x} cos (4 x)

y^{''}+2y^'+y=15e^{-x}sqrt(x+1)

y^{^{''}} + 2 y^{^{'}} + y = 15 e^{- x} x + 1

y^{''}+4y=13sec^2(2t)

y^{^{''}} + 4 y = 13 sec^{2} (2 t)

Frequently Asked Questions (FAQ)

What is the solution for (D^2-3D)y=-18x ?
The solution for (D^2-3D)y=-18x is y=c_{1}e^{3x}+c_{2}+3x^2+2x