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Popular >

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

Solution

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

Solution

y = - x^{2} + c_{1} x

Solution steps

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

Solve linear ODE:

y = - x^{2} + c_{1} x

y = - x^{2} + c_{1} x

Popular Examples

(\partial)/(\partial y)(-3y)

\frac{\partial}{\partial y} (- 3 y)

y^'+t/(t^2-16)y=(e^t)/(t-9)

y^{^{'}} + \frac{t}{t ^{2} - 16} y = \frac{e ^{t}}{t - 9}

sum from n=0 to infinity of cos(npi)

n = 0 \sum \infty cos (nπ)

area x=2-y^2,x=-y area

x = 2 - y^{2}, x = - y

integral from 0 to infinity of 8/(x^2+4)

\int_{0}^{\infty} \frac{8}{x ^{2} + 4} d x

Frequently Asked Questions (FAQ)

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