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Beliebt Rechnen >

(y^2+1)dx+xydy=0

Lösung

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

Lösung

y = \frac{c _{1} - x ^{2}}{x}, y = - \frac{c _{1} - x ^{2}}{x}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1} - x ^{2}}{x}, y = - \frac{c _{1} - x ^{2}}{x}

y = \frac{c _{1} - x ^{2}}{x}, y = - \frac{c _{1} - x ^{2}}{x}

Graph

Beliebte Beispiele

(2a^2-r^2)dr=r^3sin(θ)dθ

(2 a^{2} - r^{2}) d r = r^{3} sin (θ) d θ

y^'-y/x-1= 1/x+y

y^{^{'}} - \frac{y}{x} - 1 = \frac{1}{x} + y

(dy)/(dx)=(2(y-1))/((x-1))

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

(dy)/(dt)+2y=0,y(0)=3

\frac{d y}{d t} + 2 y = 0, y (0) = 3

(dy)/(dx)+6x^2y=5x^2,y(0)=4

\frac{d y}{d x} + 6 x^{2} y = 5 x^{2}, y (0) = 4