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Beliebt Rechnen >

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

Lösung

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

Lösung

y = x

Schritte zur Lösung

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

Solve separable ODE:

y = x

y = x

Graph

Beliebte Beispiele

y'(t)=y(y+1)^2,y(0)=1

y^{'} (t) = y (y + 1)^{2}, y (0) = 1

(dy)/(dx)=(35)/(y^{1/6)+49x^2y^{1/6}}

\frac{d y}{d x} = \frac{35}{y ^{\frac{1}{6}} + 49 x ^{2} y ^{\frac{1}{6}}}

(dy)/(dx)y=-6x^{3/2}

\frac{d y}{d x} y = - 6 x^{\frac{3}{2}}

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

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

(dy)/(dx)=(2y^2)/(sqrt(x)),y(9)= 1/49

\frac{d y}{d x} = \frac{2 y ^{2}}{x}, y (9) = \frac{1}{49}