(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=9

Lösung

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 9

y = \frac{8}{( 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{8}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

y = \frac{8}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1