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Popular >

xy^'=(x+1)y

Solution

x y^{^{'}} = (x + 1) y

Solution

y = e^{x + c_{1}} x

Solution steps

x y^{'} (x) = (x + 1) y

Solve separable ODE:

y = e^{x + c_{1}} x

y = e^{x + c_{1}} x

Popular Examples

(dy)/(dx)+y=1,y(0)=0

\frac{d y}{d x} + y = 1, y (0) = 0

3y^2(dy)/(dx)=8x

3 y^{2} \frac{d y}{d x} = 8 x

y^{^{'}} = 15 y - y^{2} - 50

(x^2)/(y^2-3)(dy)/(dx)= 1/(2y),y(1)=2

\frac{x ^{2}}{y ^{2} - 3} \frac{d y}{d x} = \frac{1}{2 y}, y (1) = 2

(dy)/(dx)+2e^xy=0

\frac{d y}{d x} + 2 e^{x} y = 0

Frequently Asked Questions (FAQ)

What is the solution for xy^'=(x+1)y ?
The solution for xy^'=(x+1)y is y=e^{x+c_{1}}x