Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y(1) = 2cosh t + sinh t- 2cos t B y(1) = 2cos t + sinh t- 2cosh t © y(t) = 2sinh i + cosh t- 2cos t y(t) = 2cosh t + sinh t- 2sin t

Q: y"+ 10y'+25y=2e¯ 1. where y (0) =0 and y'(0) =1

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Q: Solve the given IVP: (a) y""+y" - 2y' = 4e-²x/cosx; y(0) = 0.4, y'(0) = −0.4, y″(0) = -0.4

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Q: y" +y = 3 et/2) y(0) = 4 y(0) = 3

A: Second order non Homogeneous differential equation

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A: Given differential equation is y''+4y'+3y=4e-x with y(0)=0 and y'(0)=2We know the formula that PI of…

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Q: y +y=y² 1 ソ= ce* +1 4.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

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Q: y' x+1 y" + + e²y = 2³ + == y(5)= 1, y'(5) = 2. ithout solving the IVP, determine the longest…

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Q: Particular Solution   cot x (y' + 1 ) 2y = 0, y (π/4) = 9

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Q: y" + 4y = sin(t)U(t - 2π) (d) y(0) = 1 y'(0)=0

A: (d) Given that , y''+4y=sintut-2πy0=1y'0=0 Find the solution.

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A: Given

Q: +4x 6) y' = Ans.: y-x =e +C. 3y - 2xye"

A: According to the guidelines in case of multiple questions we are only allowed to do first question,…

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Q: Find the solution of the IVP x" - x' + 5x = 4+ u₂(t)e-2(t-2) x(0) = 2, x'(0) = -1 where u₂(t) is…

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A: Explanation of the answer is as follows

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A: We have to find general solution of given differential equation.

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Q: IV. y-y=sin x+cos 2x +e

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Q: -(v/y)- o None of the above () ferentia uation y"+y' = 1? What is the general solution of the dif-…

A: given differential equation :-             y''' + y' = 1

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A: Given that: y=1(x+C)