Which of the following is the form of a particular solution of y" + 4y' = 3e2 + cos 21 + t? Ae2* + Btcos2t + Ct sin 2f + Dt2 + Et Ae2t + Bcos2t + C sin 2t + Dt + E O 2. seçenek 1. seçenek At e2t + Bt cos 2t + Ct sin 2t + Dt + E 3. seçenek NONE OF THE ABOVE

Q: Give the form of a particular solution of -4x yl4) – 256 y =2 e**+3 e+ cos(4 x) – 2 a) O z=Ae -4х +…

A: OPTION D IS CORRECT.

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A: There is a theorem that which I am stating below:

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Q: 3 -2 3 2. A fundamental set of solutions of x' = 1 х is: 1

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Q: he general solution of y" +

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Q: Use separation of variables to find a product solution to the following: d²u du -u, k>0 dr -U= dr² k

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Q: Find dy dx 1) y = -1/323 ; tan 43 2 y = sec 5x 3) y = cos cos 2x + tan¹ \/ / 4) y = cot²¹ 2² 2 5) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: The general solution of y" + 4y' = 8, can be written as (A) y = c1 + c2e¯2« + c3e²a + 3x (B) y= c1 +…

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Q: 3) f(t)= (t+1) sin (t+2)= +sinltt2) + sint +2) Asin(2)+ 1- Colは) ds s Sin(2) +1- COnd ペ+ ( ニ +1) -…

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Q: Give the form of a particular solution of yl4) + 2 y " + 10 y "+ 18 y '+9y =5 e+ cos(x) +4 given…

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Q: The general solution of y" + 4y' = 12 can %3D be written as (A) y = c1+ c2e¬2= + c3e2 + 3x (B) y=…

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Q: Which of the following is true? A) y "'- 4y' + 4y = 0 The general solution : y=c₁e²x+c xe ²x 2x B)…

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Q: 5) S V2 + sin 3t · cos 3t dt

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Q: (5e + 4r +4 cos z)dr = O e – r + cos z +c O e +r - 4 sin z +c O 5e + r - 4 sin z +c O 5e* + x +…

A: The given integral is: ∫(5ex+4x3+4cos x)dx

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Q: 1. S x+cos 2x dx x2+sin 2x 2. Sxe**(ex² + 1)'dx

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A: we will find the required.

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A: Given differential equation is y'''+4y'=sec2x We have to find the solution of the given differential…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.