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Popular Calculus >

4y^{''}=y

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

y^{^{'}} = - 3 y

derivative of ln(2x-y)

\frac{d}{d x} (ln (2 x - y))

derivative of (x^3/6)

\frac{d}{d x} (\frac{x ^{3}}{6})

y^{^{''}} + 9 y = 18

sum from n=1 to infinity of (15n!)/(n^n)

n = 1 \sum \infty \frac{15 n !}{n ^{n}}

Frequently Asked Questions (FAQ)

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