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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{'} (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

(dy}{dx}=\frac{20x^4)/y ,y>0,x>0

\frac{d y}{d x} = \frac{20 x ^{4}}{y}, y > 0, x > 0

(dy}{dx}=\frac{x^2e^{x^3-y^2})/y

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

(dy)/(dx)-x^3=x^3y

\frac{d y}{d x} - x^{3} = x^{3} y

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

(dy)/(dx)=(y^3x)

\frac{d y}{d x} = (y^{3} x)