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Popular >

xy^'=2y

Solution

x \cdot y^{^{'}} = 2 \cdot y

Solution

y = c_{1} x^{2}

Solution steps

x \cdot y^{'} (x) = 2 \cdot y

Solve separable ODE:

y = c_{1} x^{2}

y = c_{1} x^{2}

Popular Examples

y^{^{'}} = y, y (0) = 6

y^'=0.6y(1-y/(1120))

y^{^{'}} = 0.6 y (1 - \frac{y}{1120})

f(x)x+xf^'(x)x+x^2f(x)x=0

f (x) x + x f^{^{'}} (x) x + x^{2} f (x) x = 0

(dy)/(dx)=20sqrt(xy)

\frac{d y}{d x} = 20 x y

(dy)/(dx)+y=((1+y^2))/(2y)

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

Frequently Asked Questions (FAQ)

What is the solution for x*y^'=2*y ?
The solution for x*y^'=2*y is y=c_{1}x^2