de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2y)/(dx^2)-8(dy)/(dx)+15=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 15 = 0

Lösung

y = c_{1} e^{8 x} + c_{2} + \frac{15 x}{8}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 15 = 0

Solve linear ODE:

y = c_{1} e^{8 x} + c_{2} + \frac{15 x}{8}

y = c_{1} e^{8 x} + c_{2} + \frac{15 x}{8}

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=x^2+3x

y^{^{''}} - 5 y^{^{'}} + 6 y = x^{2} + 3 x

y^{''}+3y^'=54x

y^{^{''}} + 3 y^{^{'}} = 54 x

(D^2+4D+5)y=50x+13e^{ex}

(D^{2} + 4 D + 5) y = 50 x + 13 e^{e x}

y^{''}-5y^'+6y=4e^{4x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 4 e^{4 x}

y^{''}+2y^'+3y=5sin(4t),y(0)=2,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + 3 y = 5 sin (4 t), y (0) = 2, y^{^{'}} (0) = 1