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Popular >

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

Solution

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

Solution

y = c_{1} e^{t} + c_{2} t e^{t} + 4

Solution steps

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + 4

y = c_{1} e^{t} + c_{2} t e^{t} + 4

Graph

Popular Examples

y^{''}+4y^'-5y=35e^{-4t}

y^{^{''}} + 4 y^{^{'}} - 5 y = 35 e^{- 4 t}

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

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

y^{''}+9y=27x^3

y^{^{''}} + 9 y = 27 x^{3}

y^{''}-4y=3e^{2x}

y^{^{''}} - 4 y = 3 e^{2 x}

1/4 y^{''}+4y=tan(4t)-1/2 e^{2t}

\frac{1}{4} y^{^{''}} + 4 y = tan (4 t) - \frac{1}{2} e^{2 t}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-2y^'+y=4 ?
The solution for y^{''}-2y^'+y=4 is y=c_{1}e^t+c_{2}te^t+4