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Popular >

x^2y^'=y-xy,y(-1)=-1

Solution

x^{2} y^{^{'}} = y - x y, y (- 1) = - 1

Solution

y = \frac{1}{e e ^{\frac{1}{x}} x}

Solution steps

x^{2} y^{'} (x) = y - x y

Solve linear ODE:

y = \frac{1}{e e ^{\frac{1}{x}} x}

y = \frac{1}{e e ^{\frac{1}{x}} x}

Popular Examples

integral of x(x-1)^2

\int x (x - 1)^{2} d x

(dy)/(dx)=e^{3x+4y}

\frac{d y}{d x} = e^{3 x + 4 y}

limit as x approaches 0 of 7x+3

x \to 0 lim (7 x + 3)

tangent of y3-xy2+x3=5 tangent of

y 3 - x y 2 + x 3 = 5

sum from n=1 to infinity of (n/(n+1))^n

n = 1 \sum \infty (\frac{n}{n + 1})^{n}

Frequently Asked Questions (FAQ)

What is the solution for x^2y^'=y-xy,y(-1)=-1 ?
The solution for x^2y^'=y-xy,y(-1)=-1 is y= 1/(ee^{1/x)x}