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Beliebt Rechnen >

(dy)/(dx)=7xsqrt(5y+11),y(0)=9

Lösung

\frac{d y}{d x} = 7 x 5 y + 11, y (0) = 9

Lösung

y = 714 x^{2} + \frac{245 x ^{4}}{16} + 9

Schritte zur Lösung

\frac{d y}{d x} = 7 x 5 y + 11

Solve separable ODE:

y = 714 x^{2} + \frac{245 x ^{4}}{16} + 9

y = 714 x^{2} + \frac{245 x ^{4}}{16} + 9

Graph

Beliebte Beispiele

derivative f(x)=\sqrt[5]{x}

d er i v a t i v e f (x) = 5 x

\frac{d y}{d x} - x y = 0

(dy)/(dx)=2cos(x)y^3

\frac{d y}{d x} = 2 cos (x) y^{3}

integral from-2 to 3 of (47)/(x^4)

\int_{- 2}^{3} \frac{47}{x ^{4}} d x

(\partial)/(\partial t)(ln(t^2+1))

\frac{\partial}{\partial t} (ln (t^{2} + 1))