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Popular Calculus >

y^'+5xy=6x

Solution

y^{^{'}} + 5 x y = 6 x

Solution

y = \frac{e ^{\frac{- 5 x ^{2} + c _{1}}{2}}}{5} + \frac{6}{5}

Solution steps

y^{'} (x) + 5 x y = 6 x

Solve separable ODE:

y = \frac{e ^{\frac{- 5 x ^{2} + c _{1}}{2}}}{5} + \frac{6}{5}

y = \frac{e ^{\frac{- 5 x ^{2} + c _{1}}{2}}}{5} + \frac{6}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y^'+5xy=6x ?
The solution for y^'+5xy=6x is y=(e^{(-5x^2+c_{1})/2})/(5)+6/5