(dy)/(dx)(x^2+1)+7x(y-1)=0,y(0)=4

Lösung

\frac{d y}{d x} (x^{2} + 1) + 7 x (y - 1) = 0, y (0) = 4

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\int \frac{x ^{2}}{x ^{2} + 9} d x

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x \to - 1 lim (x^{3} - 2 x^{2} + x - 3)

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