de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}-6y^{''}=4-cos(x)

Lösung

y^{^{'''}} - 6 y^{^{''}} = 4 - cos (x)

Lösung

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{2}}{3} + \frac{1}{37} sin (x) - \frac{6}{37} cos (x)

Schritte zur Lösung

y^{'''} (x) - 6 y^{''} (x) = 4 - cos (x)

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{2}}{3} + \frac{1}{37} sin (x) - \frac{6}{37} cos (x)

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{2}}{3} + \frac{1}{37} sin (x) - \frac{6}{37} cos (x)

Graph

Beliebte Beispiele

limit as x approaches 2+of x/(x^2-4)

x \to 2 + lim (\frac{x}{x ^{2} - 4})

integral of xln(2x+1)

\int x ln (2 x + 1) d x

integral of (x^3+1)/(x+1)

\int \frac{x ^{3} + 1}{x + 1} d x

limit as x approaches 3-of 3/(x-3)

x \to 3 - lim (\frac{3}{x - 3})

(d^2)/(dx^2)(3/(4t^6))

\frac{d ^{2}}{d x ^{2}} (\frac{3}{4 t ^{6}})