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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve exact ODE:

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

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

Graph

Beliebte Beispiele

steigung (-5,3),(5,-3)

s l o p e (- 5, 3), (5, - 3)

derivative f(x)=sqrt(x^2+4)

d er i v a t i v e f (x) = x^{2} + 4

integral from-1 to 0 of 1/(sqrt(1-x^2))

\int_{- 1}^{0} \frac{1}{1 - x ^{2}} d x

tangent f(x)= 1/(2sqrt(x)),\at x=25

t an g e n t f (x) = \frac{1}{2 x}, at x = 25

derivative-(6x)/(x^2+1)

d er i v a t i v e - \frac{6 x}{x ^{2} + 1}