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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(x-4)2y-5(x-4)y^'+9y=0

(x - 4) 2 y - 5 (x - 4) y^{^{'}} + 9 y = 0

(dy)/(dx)y=7x-5

\frac{d y}{d x} y = 7 x - 5

3 x y y^{^{'}} + 4 x - 2 = 0

(dy)/(dx)=((3x+xy^2))/((2y-x^2y))

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

x(1+y^2)^{1/2}dx=ydy

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