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Beliebt Rechnen >

(dx}{dy}=\frac{1+x^2)/y

Lösung

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

Lösung

x = tan (ln (y) + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

x = tan (ln (y) + c_{1})

x = tan (ln (y) + c_{1})

Beliebte Beispiele

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

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

2 x^{^{'}} + x = 10

sin(3x)dx+2y*cos^3(3x)dy=0

sin (3 x) d x + 2 y \cdot cos^{3} (3 x) d y = 0

(dy)/(dx)ysqrt(x+1)=4

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

y^{2} - \frac{y ^{^{'}}}{x} = 0