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Popular >

(dy)/(dx)+y/x =x^3

Solution

\frac{d y}{d x} + \frac{y}{x} = x^{3}

Solution

y = \frac{x ^{4}}{5} + \frac{c _{1}}{x}

Solution steps

\frac{d y}{d x} + \frac{y}{x} = x^{3}

Solve linear ODE:

y = \frac{x ^{4}}{5} + \frac{c _{1}}{x}

y = \frac{x ^{4}}{5} + \frac{c _{1}}{x}

Popular Examples

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e \to 1 lim (5 ln^{2} (e))

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x \to + 0 lim ((1 - \frac{1}{x}) x)

(\partial)/(\partial y)(x+y+1)

\frac{\partial}{\partial y} (x + y + 1)

integral of 1/(x^{2022)}

\int \frac{1}{x ^{2022}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+y/x =x^3 ?
The solution for (dy)/(dx)+y/x =x^3 is y=(x^4)/5+(c_{1})/x