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Popular >

y^{''}-8y^'+7y=0

Solution

y^{^{''}} - 8 y^{^{'}} + 7 y = 0

Solution

y = c_{1} e^{7 t} + c_{2} e^{t}

Solution steps

y^{''} (t) - 8 y^{'} (t) + 7 y = 0

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} e^{t}

y = c_{1} e^{7 t} + c_{2} e^{t}

Popular Examples

integral from 0 to 5 of (140x^2+9800)

\int_{0}^{5} (140 x^{2} + 9800) d x

derivative of y=acos(t)+t^2sin(t)derivative of

y = a cos (t) + t^{2} sin (t)

(\partial)/(\partial x)((x+y)e^{x+y})

\frac{\partial}{\partial x} ((x + y) e^{x + y})

limit as x approaches 7 of 4

x \to 7 lim (4)

sum from n=0 to infinity of 1/(1^n)

n = 0 \sum \infty \frac{1}{1 ^{n}}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-8y^'+7y=0 ?
The solution for y^{''}-8y^'+7y=0 is y=c_{1}e^{7t}+c_{2}e^t