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Popular >

y^{''}-36y=0

Solution

y^{^{''}} - 36 y = 0

Solution

y = c_{1} e^{6 t} + c_{2} e^{- 6 t}

Solution steps

y^{''} (t) - 36 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{- 6 t}

y = c_{1} e^{6 t} + c_{2} e^{- 6 t}

Popular Examples

d/(dt)((2t)/(1+t^2))

\frac{d}{d t} (\frac{2 t}{1 + t ^{2}})

integral from-3 to 3 of 6/(x^2+9)

\int_{- 3}^{3} \frac{6}{x ^{2} + 9} d x

integral of x^9*e^{x^{10}-9}

\int x^{9} \cdot e^{x^{10} - 9} d x

normal of y= x/(1+x^2),(2, 2/5)normal of

y = \frac{x}{1 + x ^{2}}, (2, \frac{2}{5})

sum from n=0 to infinity of e^{-(9n)/2}

n = 0 \sum \infty e^{- \frac{9 n}{2}}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-36y=0 ?
The solution for y^{''}-36y=0 is y=c_{1}e^{6t}+c_{2}e^{-6t}