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Beliebt Rechnen >

y^2y^'=(1+y^3)cos(x)

Lösung

y^{2} y^{^{'}} = (1 + y^{3}) cos (x)

Lösung

y = 3 e^{3 s i n (x) + c_{1}} - 1

Schritte zur Lösung

y^{2} y^{'} (x) = (1 + y^{3}) cos (x)

Solve separable ODE:

y = 3 e^{3 s i n (x) + c_{1}} - 1

y = 3 e^{3 s i n (x) + c_{1}} - 1

Graph

Beliebte Beispiele

(dy)/(dt)=y(y-1)

\frac{d y}{d t} = y (y - 1)

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

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

y^'=(x^4)/(y^2)

y^{^{'}} = \frac{x ^{4}}{y ^{2}}

(dy)/(dx)=xy+6x+5y+30

\frac{d y}{d x} = x y + 6 x + 5 y + 30

(dP)/(dt)=0.05P-0.0005P^2

\frac{d P}{d t} = 0.05 P - 0.0005 P^{2}