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Popular >

y^{''}-4y^'=16t

Solution

y^{^{''}} - 4 y^{^{'}} = 16 t

Solution

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

Solution steps

y^{''} (t) - 4 y^{'} (t) = 16 t

Solve linear ODE:

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

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

Graph

Popular Examples

integral of 1/((a+bx)^{1/3)}

\int \frac{1}{( a + b x ) ^{\frac{1}{3}}} d x

x^{2} y d x + x^{3} d y = 0

limit as x approaches-2 of-2x^3-3x^2+8

x \to - 2 lim (- 2 x^{3} - 3 x^{2} + 8)

integral of 0.1e^{0.4x}

\int 0.1 e^{0.4 x} d x

y^{'''}+5y^{''}+7y^'-13y=0

y^{^{'''}} + 5 y^{^{''}} + 7 y^{^{'}} - 13 y = 0

Frequently Asked Questions (FAQ)

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