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Popular >

x(dy)/(dx)+2y=5x^3

Solution

x \frac{d y}{d x} + 2 y = 5 x^{3}

Solution

y = x^{3} + \frac{c _{1}}{x ^{2}}

Solution steps

x \frac{d y}{d x} + 2 y = 5 x^{3}

Solve linear ODE:

y = x^{3} + \frac{c _{1}}{x ^{2}}

y = x^{3} + \frac{c _{1}}{x ^{2}}

Popular Examples

integral of (39)/(39+e^x)

\int \frac{39}{39 + e ^{x}} d x

limit as x approaches-2 of 5x+2

x \to - 2 lim (5 x + 2)

tangent of y=sqrt(x)tangent of

y = x

y^{''}-2y^'+y=14.5e^t

y^{^{''}} - 2 y^{^{'}} + y = 14.5 e^{t}

integral of (1-y^2)^{-1/2}

\int (1 - y^{2})^{- \frac{1}{2}} d y

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)+2y=5x^3 ?
The solution for x(dy)/(dx)+2y=5x^3 is y=x^3+(c_{1})/(x^2)