de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- x} + c_{3} e^{3 x} - \frac{x ^{3}}{3} + \frac{2 x ^{2}}{3} - \frac{5 x}{9}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + c_{3} e^{3 x} - \frac{x ^{3}}{3} + \frac{2 x ^{2}}{3} - \frac{5 x}{9}

y = c_{1} + c_{2} e^{- x} + c_{3} e^{3 x} - \frac{x ^{3}}{3} + \frac{2 x ^{2}}{3} - \frac{5 x}{9}

Graph

Beliebte Beispiele

y^{'''}-4y^{''}+4y^'=x^2+4e^{2x}

y^{^{'''}} - 4 y^{^{''}} + 4 y^{^{'}} = x^{2} + 4 e^{2 x}

y^{''}-y=2x^4+5x^2-10x

y^{^{''}} - y = 2 x^{4} + 5 x^{2} - 10 x

y^{''}+2y^'+5y=4e^{(-x)}-xcos(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 4 e^{(- x)} - x cos (2 x)

(D^2+1)y=sin(x)sin(2x)

(D^{2} + 1) y = sin (x) sin (2 x)

y^{''}+16y=sin(3x)

y^{^{''}} + 16 y = sin (3 x)