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Beliebt Rechnen >

(4x+xy^2)dx+(y+x^2y)dy=0

Lösung

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

Lösung

y = \frac{c _{1} - 4 ( x ^{2} + 1 )}{x ^{2} + 1}, y = - \frac{c _{1} - 4 ( x ^{2} + 1 )}{x ^{2} + 1}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1} - 4 ( x ^{2} + 1 )}{x ^{2} + 1}, y = - \frac{c _{1} - 4 ( x ^{2} + 1 )}{x ^{2} + 1}

y = \frac{c _{1} - 4 ( x ^{2} + 1 )}{x ^{2} + 1}, y = - \frac{c _{1} - 4 ( x ^{2} + 1 )}{x ^{2} + 1}

Graph

Beliebte Beispiele

y^'=-y^2,y(0)=1

y^{^{'}} = - y^{2}, y (0) = 1

a y d x + b x d y = 0

(dy)/(dx)+(x^2-4)y=x^2-4

\frac{d y}{d x} + (x^{2} - 4) y = x^{2} - 4

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

\frac{d y}{d x} = \frac{1 - y ^{2}}{1 - x ^{2}}

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