de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-2y^'+10y=15x^2-x+1

Lösung

y^{^{''}} - 2 y^{^{'}} + 10 y = 15 x^{2} - x + 1

Lösung

y = e^{x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + \frac{3 x ^{2}}{2} + \frac{x}{2} - \frac{1}{10}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + 10 y = 15 x^{2} - x + 1

Solve linear ODE:

y = e^{x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + \frac{3 x ^{2}}{2} + \frac{x}{2} - \frac{1}{10}

y = e^{x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + \frac{3 x ^{2}}{2} + \frac{x}{2} - \frac{1}{10}

Graph

Beliebte Beispiele

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

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

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

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

y^{''}-17y^'+72y=55+72x

y^{^{''}} - 17 y^{^{'}} + 72 y = 55 + 72 x

y^{''}-y^'-6y=5e^{2x}

y^{^{''}} - y^{^{'}} - 6 y = 5 e^{2 x}

y^{''}+2y^'+7y=6cos(2x)

y^{^{''}} + 2 y^{^{'}} + 7 y = 6 cos (2 x)