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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} y = 2 x + 1

Lösung

y = \frac{2}{3} (2 x + 1)^{\frac{3}{2}} + c_{1}, y = - \frac{2}{3} (2 x + 1)^{\frac{3}{2}} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = 2 x + 1

Solve separable ODE:

y = \frac{2}{3} (2 x + 1)^{\frac{3}{2}} + c_{1}, y = - \frac{2}{3} (2 x + 1)^{\frac{3}{2}} + c_{1}

y = \frac{2}{3} (2 x + 1)^{\frac{3}{2}} + c_{1}, y = - \frac{2}{3} (2 x + 1)^{\frac{3}{2}} + c_{1}

Graph

Beliebte Beispiele

2xyy^'=4y^2+3y^2

2 x y y^{^{'}} = 4 y^{2} + 3 y^{2}

2xy+6x+(x^2-9)(dy)/(dx)=0

2 x y + 6 x + (x^{2} - 9) \frac{d y}{d x} = 0

(dy}{dx}=\frac{4(y+1))/x

\frac{d y}{d x} = \frac{4 ( y + 1 )}{x}

xdy-ydx=2dx,y(1)=3

x d y - y d x = 2 d x, y (1) = 3

xdy-ydx=2dx,y(1)=1

x d y - y d x = 2 d x, y (1) = 1