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Beliebt Rechnen >

(dy)/(dx)=2sqrt(y+1)cos(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative 5sec(7x)

d er i v a t i v e 5 sec (7 x)

derivative ln(sin^2(x))

d er i v a t i v e ln (sin^{2} (x))

(dy)/(dx)=x+2xy

\frac{d y}{d x} = x + 2 x y

y^{''}-2y^'=(4t+9)sin(2t)

y^{^{''}} - 2 y^{^{'}} = (4 t + 9) sin (2 t)

derivative of 3/2 sin(2x)

\frac{d}{d x} (\frac{3}{2} sin (2 x))