de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+3y^'-10y=0,y(0)=α,y^'(0)=5

Lösung

y^{^{''}} + 3 y^{^{'}} - 10 y = 0, y (0) = α, y^{^{'}} (0) = 5

Lösung

y = e^{2 t} (α + \frac{5 - 2 α}{7}) - \frac{e ^{- 5 t} ( 5 - 2 α )}{7}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) - 10 y = 0

Solve linear ODE:

y = e^{2 t} (α + \frac{5 - 2 α}{7}) - \frac{e ^{- 5 t} ( 5 - 2 α )}{7}

y = e^{2 t} (α + \frac{5 - 2 α}{7}) - \frac{e ^{- 5 t} ( 5 - 2 α )}{7}

Graph

Beliebte Beispiele

linear y^{''}+49y=0

l in e a r y^{^{''}} + 49 y = 0

x^{''}+ax^'+2^2x=0

x^{^{''}} + a x^{^{'}} + 2^{2} x = 0

y^{''}+2y^'+y=0,y(1)=2,y^'(0)=2

y^{^{''}} + 2 y^{^{'}} + y = 0, y (1) = 2, y^{^{'}} (0) = 2

(d^2x)/(dt^2)+a*(dx)/(dt)=0

\frac{d ^{2} x}{d t ^{2}} + a \cdot \frac{d x}{d t} = 0

(d^2y)/(dx^2)+(dy)/(dx)+4y=0

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 4 y = 0