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Beliebt Rechnen >

(dy)/(dx)-2y=e^{5x}

Lösung

\frac{d y}{d x} - 2 y = e^{5 x}

Lösung

y = \frac{e ^{5 x}}{3} + c_{1} e^{2 x}

Schritte zur Lösung

\frac{d y}{d x} - 2 y = e^{5 x}

Solve linear ODE:

y = \frac{e ^{5 x}}{3} + c_{1} e^{2 x}

y = \frac{e ^{5 x}}{3} + c_{1} e^{2 x}

Graph

Beliebte Beispiele

derivative of-5sin(2x)

\frac{d}{d x} (- 5 sin (2 x))

derivative of cos(x+1)

\frac{d}{d x} (cos (x + 1))

x^2y^{''}-4xy^'-36y=0

x^{2} y^{^{''}} - 4 x y^{^{'}} - 36 y = 0

(\partial)/(\partial x)(xycos(3x)+e^{xy})

\frac{\partial}{\partial x} (x y cos (3 x) + e^{x y})

(x + 1) y^{^{'}} - y = x