Find the solution of the initial value problem y" + 4y + 5y = 0, (7) = 0, y 7. Y y(t) = 0, y' (7) How does the solution behave as too? Choose one ▾

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Q: to the equation (D²-1)y(x) = x'-x+1 y(x) = qe" +ce" +x-5x+1 -t yx)=ge" +ce --5x-1 - y(x)=qe'…

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Q: Solve y'' - 4y' + 29y = 0, y(0) = 3, y'(0) = y(t) = 9

A: The given differential equation is; y''-4y'+29y=0, y(0)=3, y'(0)=-9.

Q: Given the initial condition y(1) = 4, what is the particular solution of the equation y' = y (2x +…

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Q: '+ y"-4y'=x² +3x-2 FIND THE GEneRAL SOLUTION OF THE EQUATIONN

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Q: 8) y'+y=17 sin(2t), y(0) =-1.

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Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

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Q: Q4- Solve y"- 4y' + 13y 3x.e*

A: Topic:- differential equations

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Q: Solve the he (D’+ 4D+4)y(x) = 5e equation y,)-(2x+1)e - y,) (2x+1)e y,(x) (2x-1)e 32

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Q: Solve y" -6y"+ 2y' + y = 0 . You may use Mathematica for solving the characterestic equation!

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Q: Solve y" - 2y" - y' + 2y = 0. Include a plot of the solution curves.

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Q: he (D+D+1)y(x)= xe equation Solve the y,(x) = (x-1)e* -e y,(x): (x+1)e" y,(3) =x-1 (x-1)e"

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