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Popular >

x^{''}-4x=0

Solution

x^{^{''}} - 4 x = 0

Solution

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

Solution steps

x^{''} (t) - 4 x = 0

Solve linear ODE:

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

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

Popular Examples

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y^'=(x*y)/(1+x^2)

y^{^{'}} = \frac{x \cdot y}{1 + x ^{2}}

integral of (x^3+x^2)^9(3x^2+2x)

\int (x^{3} + x^{2})^{9} (3 x^{2} + 2 x) d x

Frequently Asked Questions (FAQ)

What is the solution for x^{''}-4x=0 ?
The solution for x^{''}-4x=0 is x=c_{1}e^{2t}+c_{2}e^{-2t}