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Popular >

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

Solution

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

Solution

y = \frac{x ^{3}}{4} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = \frac{x ^{3}}{4} + \frac{c _{1}}{x}

y = \frac{x ^{3}}{4} + \frac{c _{1}}{x}

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x \to 2 lim (e^{x})

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integral of e^xsqrt(15+e^x)

\int e^{x} 15 + e^{x} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+y/x =x^2 ?
The solution for (dy)/(dx)+y/x =x^2 is y=(x^3)/4+(c_{1})/x