(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=7

Lösung

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 7

y = \frac{6}{( 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{6}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

y = \frac{6}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

x \to 1 lim (- 2 x + 3)

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