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Popular >

y^{''}=y+4t^2

Solution

y^{^{''}} = y + 4 t^{2}

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

limit as x approaches 5 of-3x

x \to 5 lim (- 3 x)

tangent of y=7e^{-6x},(0,7)tangent of

y = 7 e^{- 6 x}, (0, 7)

(dy)/(dx)=9x-y/x

\frac{d y}{d x} = 9 x - \frac{y}{x}

y^{''}-2y^'=4t,y(0)=2,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} = 4 t, y (0) = 2, y^{^{'}} (0) = 0

(\partial)/(\partial x)(-sqrt(x^2+y^2-1))

\frac{\partial}{\partial x} (- x^{2} + y^{2} - 1)

Frequently Asked Questions (FAQ)

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