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Popular >

(d^2-4)y=2x

Solution

(d^{2} - 4) y = 2 x

Solution

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

Solution steps

(d^{2} - 4) y = 2 x

Solve linear ODE:

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

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

Graph

Popular Examples

y^{''}+y^'-2y=2t-40cos(2t)

y^{^{''}} + y^{^{'}} - 2 y = 2 t - 40 cos (2 t)

y^{''}-6y^'+45y=-4sin(2t)

y^{^{''}} - 6 y^{^{'}} + 45 y = - 4 sin (2 t)

y^{''}-2y^'+5y=4e^3t

y^{^{''}} - 2 y^{^{'}} + 5 y = 4 e^{3} t

y^{''}+16y=sin(x)

y^{^{''}} + 16 y = sin (x)

x^{''}+36x=100cos(4t)

x^{^{''}} + 36 x = 100 cos (4 t)

Frequently Asked Questions (FAQ)

What is the solution for (d^2-4)y=2x ?
The solution for (d^2-4)y=2x is y=c_{1}e^{2x}+c_{2}e^{-2x}-x/2