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Beliebt Rechnen >

(dy)/(dx)= y/x+3x+7

Lösung

\frac{d y}{d x} = \frac{y}{x} + 3 x + 7

Lösung

y = 3 x^{2} + 7 x ln (x) + c_{1} x

Schritte zur Lösung

\frac{d y}{d x} = \frac{y}{x} + 3 x + 7

Solve linear ODE:

y = 3 x^{2} + 7 x ln (x) + c_{1} x

y = 3 x^{2} + 7 x ln (x) + c_{1} x

Graph

Beliebte Beispiele

faktorisieren 3x^4-12x^3

f a c t or 3 x^{4} - 12 x^{3}

derivative of sin^5(x/3)

\frac{d}{d x} (sin^{5} (\frac{x}{3}))

integral of x/((x+4)^2)

\int \frac{x}{( x + 4 ) ^{2}} d x

limit as t approaches 3 of 2t^{-1}

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

integral of ((x^2-x+28))/(x^3+7x)

\int \frac{( x ^{2} - x + 28 )}{x ^{3} + 7 x} d x