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Popular >

y^'=x+8y

Solution

y^{^{'}} = x + 8 y

Solution

y = - \frac{8 x + 1}{64} + c_{1} e^{8 x}

Solution steps

y^{'} (x) = x + 8 y

Solve linear ODE:

y = - \frac{8 x + 1}{64} + c_{1} e^{8 x}

y = - \frac{8 x + 1}{64} + c_{1} e^{8 x}

Popular Examples

(dy)/(dt)-y=1,y(0)=1

\frac{d y}{d t} - y = 1, y (0) = 1

integral of 1/(25-4x^2)

\int \frac{1}{25 - 4 x ^{2}} d x

(\partial)/(\partial y)(4x(4+y)^{-1})

\frac{\partial}{\partial y} (4 x (4 + y)^{- 1})

derivative of (6x)/(x+5)derivative of

\frac{6 x}{x + 5}

limit as x approaches 8 of ((x-8))/(x-8)

x \to 8 lim (\frac{( x - 8 )}{x - 8})

Frequently Asked Questions (FAQ)

What is the solution for y^'=x+8y ?
The solution for y^'=x+8y is y=-(8x+1)/(64)+c_{1}e^{8x}