de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-3y^'+2y=2x^2+1

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 x^{2} + 1

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} + x^{2} + 3 x + 4

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) + 2 y = 2 x^{2} + 1

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + x^{2} + 3 x + 4

y = c_{1} e^{2 x} + c_{2} e^{x} + x^{2} + 3 x + 4

Graph

Beliebte Beispiele

y^{''}+2y^'+y=e^{-x}sin(x)

y^{^{''}} + 2 y^{^{'}} + y = e^{- x} sin (x)

(d^2x)/(dt^2)+16x=1+2sin(4t)

\frac{d ^{2} x}{d t ^{2}} + 16 x = 1 + 2 sin (4 t)

y^{''}-4y=2x-sin(x)

y^{^{''}} - 4 y = 2 x - sin (x)

y^{''}+y^'-2y=5

y^{^{''}} + y^{^{'}} - 2 y = 5

(d^2y)/(dx^2)+9y=xe^{2x}+sin(3x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = x e^{2 x} + sin (3 x)