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Beliebt Rechnen >

(dy)/(dx)=(y^2+y^2cos(x))^2

Lösung

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

Lösung

y = - 3 \frac{4}{3 ( 6 x + sin ( 2 x ) + 8 sin ( x ) + c _{1} )}

Schritte zur Lösung

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

Solve separable ODE:

y = - 3 \frac{4}{3 ( 6 x + sin ( 2 x ) + 8 sin ( x ) + c _{1} )}

y = - 3 \frac{4}{3 ( 6 x + sin ( 2 x ) + 8 sin ( x ) + c _{1} )}

Graph

Beliebte Beispiele

y^'=-3y^{4/3}sin(t)

y^{^{'}} = - 3 y^{\frac{4}{3}} sin (t)

(dy)/(dx)=(x+1)/(e^y)

\frac{d y}{d x} = \frac{x + 1}{e ^{y}}

(dy)/(dx)=-8/9 x^2y^6

\frac{d y}{d x} = - \frac{8}{9} x^{2} y^{6}

y^{^{'}} = (\frac{2}{x} - x) y

x^5(dy)/(dx)=3x^2sqrt(1-y^2)

x^{5} \frac{d y}{d x} = 3 x^{2} 1 - y^{2}