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Popular >

y^'=(y+9)/(x+8)

Solution

y^{^{'}} = \frac{y + 9}{x + 8}

Solution

y = e^{c_{1}} x + 8 e^{c_{1}} - 9

Solution steps

y^{'} (x) = \frac{y + 9}{x + 8}

Solve separable ODE:

y = e^{c_{1}} x + 8 e^{c_{1}} - 9

y = e^{c_{1}} x + 8 e^{c_{1}} - 9

Graph

Popular Examples

(dy)/(dt)+20y=2,4= 6/5-6/5 e^{-20t}

\frac{d y}{d t} + 20 y = 2, 4 = \frac{6}{5} - \frac{6}{5} e^{- 20 t}

y^'=(xsqrt(y))/(e^{sqrt(y))},y(0)=0

y^{^{'}} = \frac{x y}{e ^{y}}, y (0) = 0

(dP)/(dt)=0.15P

\frac{d P}{d t} = 0.15 P

\frac{d y}{d t} + 3 y = 2

\frac{d y}{d t} + 3 y = 5

Frequently Asked Questions (FAQ)

What is the solution for y^'=(y+9)/(x+8) ?
The solution for y^'=(y+9)/(x+8) is y=e^{c_{1}}x+8e^{c_{1}}-9