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Beliebt Rechnen >

y^'+2y=2x+e^{4x}

Lösung

y^{^{'}} + 2 y = 2 x + e^{4 x}

Lösung

y = x - \frac{1}{2} + \frac{e ^{4 x}}{6} + \frac{c _{1}}{e ^{2 x}}

Schritte zur Lösung

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

Solve linear ODE:

y = x - \frac{1}{2} + \frac{e ^{4 x}}{6} + \frac{c _{1}}{e ^{2 x}}

y = x - \frac{1}{2} + \frac{e ^{4 x}}{6} + \frac{c _{1}}{e ^{2 x}}

Graph

Beliebte Beispiele

integral of 2xcos(9x)

\int 2 x cos (9 x) d x

tangent f(x)= 3/(x-2),\at x=3

t an g e n t f (x) = \frac{3}{x - 2}, at x = 3

integral from 0 to 4 of (3t)/((t-5)^2)

\int_{0}^{4} \frac{3 t}{( t - 5 ) ^{2}} d t

derivative f(x)= x/(x^2+6)

d er i v a t i v e f (x) = \frac{x}{x ^{2} + 6}

limit as x approaches 2 of 5x^3-9x^2+1

x \to 2 lim (5 x^{3} - 9 x^{2} + 1)