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Beliebt Rechnen >

(dy}{dx}+\frac{3y)/x+2=3x,y(1)=1

Lösung

\frac{d y}{d x} + \frac{3 y}{x} + 2 = 3 x, y (1) = 1

Lösung

y = \frac{3 x ^{2}}{5} - \frac{x}{2} + \frac{9}{10 x ^{3}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{3 x ^{2}}{5} - \frac{x}{2} + \frac{9}{10 x ^{3}}

y = \frac{3 x ^{2}}{5} - \frac{x}{2} + \frac{9}{10 x ^{3}}

Graph

Beliebte Beispiele

derivative of 3x^2+5x-2

\frac{d}{d x} (3 x^{2} + 5 x - 2)

integral of 2tan^5(4x)

\int 2 tan^{5} (4 x) d x

y^{''}+4y^'+5y=35e-4x

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e - 4 x

inverselaplace 2/((4s^2-8s))

in v erse l a pl a ce \frac{2}{( 4 s ^{2} - 8 s )}

derivative of sin(x+arcsin(x))

\frac{d}{d x} (sin (x) + arcsin (x))