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Beliebt Rechnen >

xy^'+3y=(2e^{4x})/(x^2)

Lösung

x y^{^{'}} + 3 y = \frac{2 e ^{4 x}}{x ^{2}}

Lösung

y = \frac{e ^{4 x}}{2 x ^{3}} + \frac{c _{1}}{x ^{3}}

Schritte zur Lösung

x y^{'} (x) + 3 y = \frac{2 e ^{4 x}}{x ^{2}}

Solve linear ODE:

y = \frac{e ^{4 x}}{2 x ^{3}} + \frac{c _{1}}{x ^{3}}

y = \frac{e ^{4 x}}{2 x ^{3}} + \frac{c _{1}}{x ^{3}}

Graph

Beliebte Beispiele

derivative of ax^2e^{-x}

\frac{d}{d x} (a x^{2} e^{- x})

derivative of ln(3/(x^2+9))

\frac{d}{d x} (ln (\frac{3}{x ^{2} + 9}))

tangent f(x)=x^x,\at x=2

t an g e n t f (x) = x^{x}, at x = 2

(xy^2-x)dx+(x^2y+y)dy=0

(x y^{2} - x) d x + (x^{2} y + y) d y = 0

(\partial)/(\partial x)(20-2x+1.5-x+3x)

\frac{\partial}{\partial x} (20 - 2 x + 1.5 - x + 3 x)