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Beliebt Rechnen >

xy^2dx+(x^2y+3y)dy=0,y(1)=1

Lösung

x y^{2} d x + (x^{2} y + 3 y) d y = 0, y (1) = 1

Lösung

y = \frac{c _{1}}{x ^{2} + 3}

Schritte zur Lösung

x y^{2} d x + (x^{2} y + 3 y) d y = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 3}

y = \frac{c _{1}}{x ^{2} + 3}

Graph

Beliebte Beispiele

x^2y^2y^'=1+x^2

x^{2} y^{2} y^{^{'}} = 1 + x^{2}

x/y (dy)/(dx)=1

\frac{x}{y} \frac{d y}{d x} = 1

y^'=2xy^2,y(0)= 1/(4-x^2)

y^{^{'}} = 2 x y^{2}, y (0) = \frac{1}{4 - x ^{2}}

12sin(x)(dy)/(dx)=1ey-ye-y

12 sin (x) \frac{d y}{d x} = 1 ey - ye - y

(dy)/(dt)=-ay+b

\frac{d y}{d t} = - a y + b