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Beliebt Rechnen >

y^'=((2y+3))/(x^2)

Lösung

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

Lösung

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=2*(x^2)*(y^2)

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

dx-(dy)/(1+y^2)=0

d x - \frac{d y}{1 + y ^{2}} = 0

(dy)/(dx)=(2xy)/(x^2+1),y(1)=2

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

xdx-ydy=xy(xdy-ydx)

x d x - y d y = x y (x d y - y d x)

(dy)/(dx)=(sin(x))/(sec^2(y))

\frac{d y}{d x} = \frac{sin ( x )}{sec ^{2} ( y )}