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

Lösung

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

y = \frac{7}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{7}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

y = \frac{7}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

x \to - 3 lim (x x + 3)

\frac{\partial}{\partial z} (6 z e^{x yz})

\int - x^{2} + 4 x + 5 d x

d er i v a t i v e f (x) = - 8 x

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