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Popular >

y^{''}-16y=96

Solution

y^{^{''}} - 16 y = 96

Solution

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - 6

Solution steps

y^{''} (t) - 16 y = 96

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - 6

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - 6

Graph

Popular Examples

y^{''}-14y^'+49y=28x+6

y^{^{''}} - 14 y^{^{'}} + 49 y = 28 x + 6

y^{''}-12y^'+36y=2e^{6x}

y^{^{''}} - 12 y^{^{'}} + 36 y = 2 e^{6 x}

y^{''}-y^'-6y=53cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 53 cos (3 x)

y^{''}-y^'-2y=x^2+cos(x)

y^{^{''}} - y^{^{'}} - 2 y = x^{2} + cos (x)

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

y^{^{''}} - 4 y^{^{'}} + 4 y = \frac{e ^{2 t}}{t}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-16y=96 ?
The solution for y^{''}-16y=96 is y=c_{1}e^{4t}+c_{2}e^{-4t}-6