de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

16y^{''}+152y^'+361y=0,y(0)=9,y^'(0)=2

Lösung

16 y^{^{''}} + 152 y^{^{'}} + 361 y = 0, y (0) = 9, y^{^{'}} (0) = 2

Lösung

y = 9 e^{- \frac{19 t}{4}} + \frac{179 e ^{- \frac{19 t}{4}} t}{4}

Schritte zur Lösung

16 y^{''} (t) + 152 y^{'} (t) + 361 y = 0

Solve linear ODE:

y = 9 e^{- \frac{19 t}{4}} + \frac{179 e ^{- \frac{19 t}{4}} t}{4}

y = 9 e^{- \frac{19 t}{4}} + \frac{179 e ^{- \frac{19 t}{4}} t}{4}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(ln(1+x^2+y))

\frac{\partial}{\partial y} (ln (1 + x^{2} + y))

integral of (18)/((x^2-1)^2)

\int \frac{18}{( x ^{2} - 1 ) ^{2}} d x

y^'+7x^{-1}y=x^2

y^{^{'}} + 7 x^{- 1} y = x^{2}

derivative 10arcsin(e^{x/2})

d er i v a t i v e 10 arcsin (e^{\frac{x}{2}})

integral of (4x^2)/(x^2+7)

\int \frac{4 x ^{2}}{x ^{2} + 7} d x