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Popular >

x^2(dy)/(dx)+xy=x^3

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

tangent of-x^2+4sqrt(x),\at x=4 tangent of

- x^{2} + 4 x, at x = 4

integral of x+y+1

\int x + y + 1 d x

y^'=7x+y,y(0)=5

y^{^{'}} = 7 x + y, y (0) = 5

integral of 1/(sqrt(x^2-2x))

\int \frac{1}{x ^{2} - 2 x} d x

area 3x^2,(1,3)area

3 x^{2}, (1, 3)

Frequently Asked Questions (FAQ)

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