en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

D^2y=81y

Solution

D^{2} y = 81 y

Solution

y = 0

Solution steps

D^{2} y = 81 y

Move

81 y

to the left side

D^{2} y - 81 y = 0

Factor

D^{2} y - 81 y : y (D^{2} - 81)

y (D^{2} - 81) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

y = 0

Graph

Popular Examples

y^{''}-y^'-6y=50sin(x)-5e^{-2x}

y^{^{''}} - y^{^{'}} - 6 y = 50 sin (x) - 5 e^{- 2 x}

(d^2x)/(dt^2)+2(dx)/(dt)+5x=1

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 5 x = 1

y^{^{''}} + y^{^{'}} = c

(D^3-5D^2+8D-4)y=e^{2x}+2e^x+3e^{-x}

(D^{3} - 5 D^{2} + 8 D - 4) y = e^{2 x} + 2 e^{x} + 3 e^{- x}

y^{''}-16y=16t-32e^{-4t},y(0)=0,y^'(0)=51

y^{^{''}} - 16 y = 16 t - 32 e^{- 4 t}, y (0) = 0, y^{^{'}} (0) = 51

Frequently Asked Questions (FAQ)

What is the answer to D^2y=81y ?
The answer to D^2y=81y is y=0