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Popular >

x^2y^'=(x+7)y

Solution

x^{2} y^{^{'}} = (x + 7) y

Solution

y = e^{- \frac{7}{x} + c_{1}} x

Solution steps

x^{2} y^{'} (x) = (x + 7) y

Solve separable ODE:

y = e^{- \frac{7}{x} + c_{1}} x

y = e^{- \frac{7}{x} + c_{1}} x

Popular Examples

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

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

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

(dy)/(dx)-xy+x^2y=0

\frac{d y}{d x} - x y + x^{2} y = 0

(dy}{dt}=\frac{k*sqrt(y))/c

\frac{d y}{d t} = \frac{k \cdot y}{c}

y^'=1+y^2,y(0)=0

y^{^{'}} = 1 + y^{2}, y (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for x^2y^'=(x+7)y ?
The solution for x^2y^'=(x+7)y is y=e^{-7/x+c_{1}}x