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Popular >

(D^3+2D^2)y=0

Solution

(D^{3} + 2 D^{2}) y = 0

Solution

y = c_{1} e^{- 2 x} + c_{2} + c_{3} x

Solution steps

(D^{3} + 2 D^{2}) y = 0

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} + c_{3} x

y = c_{1} e^{- 2 x} + c_{2} + c_{3} x

Graph

Popular Examples

2y^{''}+5y^'-3y=0,y(0)=7

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 7

3y^{''}+12y^'+24y=0

3 y^{^{''}} + 12 y^{^{'}} + 24 y = 0

-f^{''}(t)-cf(t)=0

- f^{^{''}} (t) - c f (t) = 0

6y^{''}-7y^'+y=0,y(0)=6,y^'(0)= 1/6

6 y^{^{''}} - 7 y^{^{'}} + y = 0, y (0) = 6, y^{^{'}} (0) = \frac{1}{6}

y^{''}+10y^'+21y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 10 y^{^{'}} + 21 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for (D^3+2D^2)y=0 ?
The solution for (D^3+2D^2)y=0 is y=c_{1}e^{-2x}+c_{2}+c_{3}x