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Popular >

y^'=-6y-6,y(0)=7

Solution

y^{^{'}} = - 6 y - 6, y (0) = 7

Solution

y = 8 e^{- 6 t} - 1

Solution steps

y^{'} (t) = - 6 y - 6

Solve separable ODE:

y = 8 e^{- 6 t} - 1

y = 8 e^{- 6 t} - 1

Graph

Popular Examples

x^{^{'}} = - x + 2

y^2y^'=xln(x^2)

y^{2} y^{^{'}} = x ln (x^{2})

x^{2} y^{^{'}} - y - y^{2} = 0

(dy)/(dx)y=xe^{-6x}+6e^{-x}+x^7

\frac{d y}{d x} y = x e^{- 6 x} + 6 e^{- x} + x^{7}

derivative of x^2+y^2= derivative of 9

\frac{d}{d x} (x^{2} + y^{2}) = \frac{d}{d x} (9)

Frequently Asked Questions (FAQ)

What is the solution for y^'=-6y-6,y(0)=7 ?
The solution for y^'=-6y-6,y(0)=7 is y=8e^{-6t}-1