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Beliebt Rechnen >

(dy)/(dx)+y=e^{7x}

Lösung

\frac{d y}{d x} + y = e^{7 x}

Lösung

y = \frac{e ^{7 x}}{8} + \frac{c _{1}}{e ^{x}}

Schritte zur Lösung

\frac{d y}{d x} + y = e^{7 x}

Solve linear ODE:

y = \frac{e ^{7 x}}{8} + \frac{c _{1}}{e ^{x}}

y = \frac{e ^{7 x}}{8} + \frac{c _{1}}{e ^{x}}

Graph

Beliebte Beispiele

y^'-5/x y=(y^5)/(x^{18)}

y^{^{'}} - \frac{5}{x} y = \frac{y ^{5}}{x ^{18}}

integral from 9 to 16 of 1/(7-sqrt(x))

\int_{9}^{16} \frac{1}{7 - x} d x

integral of (sqrt(x))/(x-16)

\int \frac{x}{x - 16} d x

sum from n=0 to infinity of n^2(x)^{n-1}

n = 0 \sum \infty n^{2} (x)^{n - 1}

laplacetransform 5t^4

l a pl a ce t r an s f or m 5 t^{4}