de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-5y^'+6y=xe^{(-4x)}

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = x \cdot e^{(- 4 \cdot x)}

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{e ^{- 4 x} x}{42} + \frac{13}{1764} e^{- 4 x}

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = x \cdot e^{(- 4 \cdot x)}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{e ^{- 4 x} x}{42} + \frac{13}{1764} e^{- 4 x}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{e ^{- 4 x} x}{42} + \frac{13}{1764} e^{- 4 x}

Graph

Beliebte Beispiele

derivative of 5/((2x^3))

\frac{d}{d x} (\frac{5}{( 2 x ) ^{3}})

(\partial)/(\partial x)(x^2-y^2)

\frac{\partial}{\partial x} (x^{2} - y^{2})

integral of (tan(x/(10)))^5

\int (tan (\frac{x}{10}))^{5} d x

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

(1 - e^{2 y}) \frac{d y}{d x} = e^{y}

tangent x^2+y^2=25,(-4,-3)

t an g e n t x^{2} + y^{2} = 25, (- 4, - 3)