Find the general solution of (d²s)/(dt²) + 2(ds/dt) + 5s = 0. OA.y = C₁e(t) cos2t + C2 e(t) sin3t OB.y = C₁ e(t) cos2t + C₂ e(t) sin2t + C3 e(-2t) OC.y = C₁e(t) cos2t + C2 e(t) sin2t O D.y = C₁ e(t) cos2t + C2 e(t) sin2t + C3 e(-3t)

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A: The given integral,      ∫1x64+9x2dx

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A: Given

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A: Concept: The general form of non-homogeneous differential equation  dydx=a1x+b1y+c1a2x+b2y+c2 Check…

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A: Here, note that: ∫cot4x dx=∫cot2x cot2x dx=∫(cosec2x-1) cot2x dx=∫cosec2x cot2x dx-∫cot2x…

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A: Find t from y and substitute that t in x to find the relationship between x and y.

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A: To find sin(x+y)

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A: This question can be solved using the concept of continuity of a function at a given point.

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Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

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A: This question can be solved using the concept of maxima and minima.

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A: This question can be solved using the concept of area under curves.

Q: Find the Integrating Factor (I.F) of the following linear differential equation:

A: Please refer to the image below

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Q: v²dx + x(x + v) dv=0 O xv² = c(x+2v) Ox²v² = c(x + v) X V 2 Oxv² = c(2x + v) O xv² = c(x + v)

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Q: 1 So 2t en + e-2t ezt - e-at dt

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