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Popular >

y^{''}-ay=0

Solution

y^{^{''}} - a y = 0

Solution

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

Solution steps

y^{''} (t) - a y (t) = 0

Solve linear ODE:

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

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

Popular Examples

integral from 1 to 2 of xe^{-x^2}

\int_{1}^{2} x e^{- x^{2}} d x

slope of (0,0),(-5,3)slope

(0, 0), (- 5, 3)

integral of csc^2(x/2)

\int csc^{2} (\frac{x}{2}) d x

inverse oflaplace (s+5)/(s^2+4s+3)inverse laplace

\frac{s + 5}{s ^{2} + 4 s + 3}

derivative of e^x+c

\frac{d}{d x} (e^{x} + c)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-ay=0 ?
The solution for y^{''}-ay=0 is y=c_{1}e^{sqrt(a)t}+c_{2}e^{-sqrt(a)t}