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Popular Calculus >

y^{''}=4y

Solution

y^{^{''}} = 4 y

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

inverse oflaplace (s+12)/((s^2+4s))

in v erse l a pl a ce \frac{s + 12}{( s ^{2} + 4 s )}

d/(dt)(5/((5-t)^2))

\frac{d}{d t} (\frac{5}{( 5 - t ) ^{2}})

integral of (x-5)/(x^3+2x^2+x)

\int \frac{x - 5}{x ^{3} + 2 x ^{2} + x} d x

(\partial)/(\partial x)(xln(z^5+x^4))

\frac{\partial}{\partial x} (x ln (z^{5} + x^{4}))

(\partial)/(\partial x)(7xy^2+1)

\frac{\partial}{\partial x} (7 x y^{2} + 1)

Frequently Asked Questions (FAQ)

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