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Popular >

x(dy)/(dx)+5y=7x^2

Solution

x \frac{d y}{d x} + 5 y = 7 x^{2}

Solution

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

Solution steps

x \frac{d y}{d x} + 5 y = 7 x^{2}

Solve linear ODE:

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

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

Graph

Popular Examples

derivative of (x+1e^{-x})

\frac{d}{d x} ((x + 1) e^{- x})

integral of 9/(x^8)

\int \frac{9}{x ^{8}} d x

integral from 0 to 10 of |x^2-8x+7|

\int_{0}^{10} x^{2} - 8 x + 7 d x

(\partial)/(\partial y)(7x+5y)

\frac{\partial}{\partial y} (7 x + 5 y)

integral of 1/(sqrt(x)+\sqrt[3]{x)}

\int \frac{1}{x + 3 x} d x

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)+5y=7x^2 ?
The solution for x(dy)/(dx)+5y=7x^2 is y=x^2+(c_{1})/(x^5)