What is the solution for (d^2y)/(dx^2)=4y ?

The solution for (d^2y)/(dx^2)=4y is y=c_{1}e^{2x}+c_{2}e^{-2x}

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(d^2y)/(dx^2)=4y

\frac{d ^{2} y}{d x ^{2}} = 4 y

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} = 4 y

Solve linear ODE:

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

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

\frac{d v}{d t} = v^{2} + 5 v + 1

\int tan (x) sec^{2} (x) d x

(2 x + 3) (3 x - 4)

\frac{5}{x ^{3}}

\int_{\frac{π}{9}}^{\infty} \frac{5}{x} d x

What is the solution for (d^2y)/(dx^2)=4y ?
The solution for (d^2y)/(dx^2)=4y is y=c_{1}e^{2x}+c_{2}e^{-2x}