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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of f(x)=ccos(t)+t^2sin(t)derivative of

f (x) = c cos (t) + t^{2} sin (t)

integral from 3 to 4 of (x+7x^2)

\int_{3}^{4} (x + 7 x^{2}) d x

derivative of ln(3)*e^x derivative of

ln (3) \cdot e^{x}

integral of x^3sin(x

\int x^{3} sin (d) x d x

(dy)/(dx)=2xcos^2(y)

\frac{d y}{d x} = 2 x cos^{2} (y)

Frequently Asked Questions (FAQ)

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