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Beliebt Rechnen >

(dy)/(dx)=((2x+3))/(2y)

Lösung

\frac{d y}{d x} = \frac{( 2 x + 3 )}{2 y}

Lösung

y = x^{2} + 3 x + c_{1}, y = - x^{2} + 3 x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{( 2 x + 3 )}{2 y}

Solve separable ODE:

y = x^{2} + 3 x + c_{1}, y = - x^{2} + 3 x + c_{1}

y = x^{2} + 3 x + c_{1}, y = - x^{2} + 3 x + c_{1}

Graph

Beliebte Beispiele

3x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-8

3 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = - 8

3(dy)/(dx)-7(dy)/(dx)+3y=0

3 \frac{d y}{d x} - 7 \frac{d y}{d x} + 3 y = 0

(dy)/(dx)= x/(y^2),y(2)=3

\frac{d y}{d x} = \frac{x}{y ^{2}}, y (2) = 3

(2-x^3)y^'-3x^2y=0

(2 - x^{3}) y^{^{'}} - 3 x^{2} y = 0

x (1 + 2 y) d x - d y = 0