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Beliebt Rechnen >

(x^2+1)(dy)/(dx)+7x(y-1)=0,y(0)=9

Lösung

(x^{2} + 1) \frac{d y}{d x} + 7 x (y - 1) = 0, y (0) = 9

Lösung

y = \frac{8}{( x ^{2} + 1 ) ^{\frac{7}{2}}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{8}{( x ^{2} + 1 ) ^{\frac{7}{2}}} + 1

y = \frac{8}{( x ^{2} + 1 ) ^{\frac{7}{2}}} + 1

Graph

Beliebte Beispiele

integral of x^2e^{21x}

\int x^{2} e^{21 x} d x

2 y^{^{'}} + t y = 2

integral from 4 to 9 of 1/(sqrt(x))

\int_{4}^{9} \frac{1}{x} d x

limit as x approaches 5 of (x-5)/(|x-5|)

x \to 5 lim (\frac{x - 5}{∣ x - 5 ∣})

limit as x approaches 15 of 2

x \to 15 lim (2)