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Beliebt Rechnen >

(dy)/(dx)= y/x+2x+3

Lösung

\frac{d y}{d x} = \frac{y}{x} + 2 x + 3

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{y}{x} + 2 x + 3

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dt)=(y+1)(y-3),y(0)=1

\frac{d y}{d t} = (y + 1) (y - 3), y (0) = 1

limit as x approaches 4/3 of 2x^2-4x+5

x \to \frac{4}{3} lim (2 x^{2} - 4 x + 5)

integral of x(3^{-x^2})

\int x (3^{- x^{2}}) d x

limit as x approaches 1 of 1.7496

x \to 1 lim (1.7496)

f (x) = 12 x