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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}}{2} + c_{1} x

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

limit as x approaches 0+of 12cos(12x)

x \to 0 + lim (12 cos (12 x))

xy^'+2y=sin(x),y(pi)= 1/pi

x y^{^{'}} + 2 y = sin (x), y (π) = \frac{1}{π}

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

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

implicit (dy)/(dx),xy=6 implicit derivative

\frac{d y}{d x}, x y = 6

(\partial)/(\partial y)(x+2y^{1/2})

\frac{\partial}{\partial y} (x + 2 y^{\frac{1}{2}})

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)/2+c_{1}x