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Beliebt Rechnen >

(dy)/(dx)= y/x+8x+7

Lösung

\frac{d y}{d x} = \frac{y}{x} + 8 x + 7

Lösung

y = 8 x^{2} + 7 x ln (x) + c_{1} x

Schritte zur Lösung

\frac{d y}{d x} = \frac{y}{x} + 8 x + 7

Solve linear ODE:

y = 8 x^{2} + 7 x ln (x) + c_{1} x

y = 8 x^{2} + 7 x ln (x) + c_{1} x

Graph

Beliebte Beispiele

(\partial)/(\partial x)(8xarctan(x/y))

\frac{\partial}{\partial x} (8 x arctan (\frac{x}{y}))

derivative of e^{x/(x-1})

\frac{d}{d x} (e^{\frac{x}{x - 1}})

integral of (x^3)/(x^2-x)

\int \frac{x ^{3}}{x ^{2} - x} d x

derivative of (1+1/x ^{1/x})

\frac{d}{d x} ((1 + \frac{1}{x})^{\frac{1}{x}})

(\partial)/(\partial x)(xysqrt(x^2+y^2))

\frac{\partial}{\partial x} (x y x^{2} + y^{2})