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Beliebt Rechnen >

y^'=x+xy

Lösung

y^{^{'}} = x + x y

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

sqrt((1+cos(2x))/(1+sin(y)))+(dy)/(dx)=0

\frac{1 + cos ( 2 x )}{1 + sin ( y )} + \frac{d y}{d x} = 0

(2x-1)dx-(3y-7)dy=0

(2 x - 1) d x - (3 y - 7) d y = 0

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

(x^3+1)y^'-3x^2y=0

(x^{3} + 1) y^{^{'}} - 3 x^{2} y = 0

(dy)/(dx)=\sqrt[3]{y},y(0)=5.2

\frac{d y}{d x} = 3 y, y (0) = 5.2