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Popular >

y^{''}-16y=6

Solution

y^{^{''}} - 16 y = 6

Solution

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - \frac{3}{8}

Solution steps

y^{''} (t) - 16 y = 6

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - \frac{3}{8}

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - \frac{3}{8}

Popular Examples

(d^2-1)y=e^x+4e^{-x}

(d^{2} - 1) y = e^{x} + 4 e^{- x}

y^{''}-4y-12y=2sin(t)

y^{^{''}} - 4 y - 12 y = 2 sin (t)

y^{''}+4y=3cos(2)

y^{^{''}} + 4 y = 3 cos (2)

y^{''}+2y^'-3y=5e^xsin(2x)

y^{^{''}} + 2 y^{^{'}} - 3 y = 5 e^{x} sin (2 x)

y^{''}-4y^'+5y=e^2x,y(0)=1,y^'(0)=3

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{2} x, y (0) = 1, y^{^{'}} (0) = 3

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-16y=6 ?
The solution for y^{''}-16y=6 is y=c_{1}e^{4t}+c_{2}e^{-4t}-3/8