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Beliebt Rechnen >

2y^'-y=e^{x/3}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

tangent sqrt(7x+2),\at x=2

t an g e n t 7 x + 2, at x = 2

derivative 5^{3x}

d er i v a t i v e 5^{3 x}

derivative of (x+1^2(x^2+1)^{-3})

\frac{d}{d x} ((x + 1)^{2} (x^{2} + 1)^{- 3})

(\partial)/(\partial x)(e^{x^2+y^2}*2x)

\frac{\partial}{\partial x} (e^{x^{2} + y^{2}} \cdot 2 x)

integral of (2y)/(1+y^2)

\int \frac{2 y}{1 + y ^{2}} d y