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Popular >

xy^'+9y=6xy

Solution

x y^{^{'}} + 9 y = 6 x y

Solution

y = \frac{e ^{6 x + c_{1}}}{x ^{9}}

Solution steps

x y^{'} (x) + 9 y = 6 x y

Solve separable ODE:

y = \frac{e ^{6 x + c_{1}}}{x ^{9}}

y = \frac{e ^{6 x + c_{1}}}{x ^{9}}

Popular Examples

a y^{^{'}} + y b = c

(dy)/(dx)=(x+1)/(y^2),y(1)=0

\frac{d y}{d x} = \frac{x + 1}{y ^{2}}, y (1) = 0

y^'csc(t)=(-y^{21})/(20)

y^{^{'}} csc (t) = \frac{- y ^{21}}{20}

(dp)/(dt)=0.0017p(1-p/(6200))

\frac{d p}{d t} = 0.0017 p (1 - \frac{p}{6200})

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

Frequently Asked Questions (FAQ)

What is the solution for xy^'+9y=6xy ?
The solution for xy^'+9y=6xy is y=(e^{6x+c_{1}})/(x^9)