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Popular >

y^{''}-2y^'-3=0

Solution

y^{^{''}} - 2 y^{^{'}} - 3 = 0

Solution

y = c_{1} e^{2 t} + c_{2} - \frac{3 t}{2}

Solution steps

y^{''} (t) - 2 y^{'} (t) - 3 = 0

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} - \frac{3 t}{2}

y = c_{1} e^{2 t} + c_{2} - \frac{3 t}{2}

Graph

Popular Examples

y^{''}+4y^'+13y=5

y^{^{''}} + 4 y^{^{'}} + 13 y = 5

y^{''}+4y^'+y=2

y^{^{''}} + 4 y^{^{'}} + y = 2

y^{''}+5y^'+6y=20te^{5t}

y^{^{''}} + 5 y^{^{'}} + 6 y = 20 t e^{5 t}

y^{''}-6y^'+8y=-3e^{2x}-5xe^{-4x}+3x

y^{^{''}} - 6 y^{^{'}} + 8 y = - 3 e^{2 x} - 5 x e^{- 4 x} + 3 x

y^{''''}-y^{''}=3x^2-2x

y^{^{''''}} - y^{^{''}} = 3 x^{2} - 2 x

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-2y^'-3=0 ?
The solution for y^{''}-2y^'-3=0 is y=c_{1}e^{2t}+c_{2}-(3t)/2