de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}-3y^{''}+3y^'-y=x-4e^x

Lösung

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = x - 4 e^{x}

Lösung

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

Schritte zur Lösung

y^{'''} (x) - 3 y^{''} (x) + 3 y^{'} (x) - y = x - 4 e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of sin(2x-1)

\int sin (2 x - 1) d x

x^{2} y^{^{'}} - x y = y^{2}

(\partial)/(\partial y)(sqrt(y))

\frac{\partial}{\partial y} (y)

4/3 xy^'-3/8 y=0

\frac{4}{3} x y^{^{'}} - \frac{3}{8} y = 0

integral of 2xcos(3x)

\int 2 x cos (3 x) d x