Q2) If y(0) = 0 and y'(0) = 0, f(t) = e*", %3D %3D 1 y(t) (D +3)(D + 2)(D + 1)f(t), determine y(t). %3D (D+2)(D+3)

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A: We have to prove the given differential equation to be true.

Q: Look at picture please

A: Given,

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A: Here we will find poinr D'4 symmetric of D4

Q: 6 Y = x6 + Vx5 ++5 x3 y' = 6x5 +x² – 18x* y' = 6x5 +x1.5 – 18x-2 O Option 2 Option 1 y' = 6x5 +x15 –…

A:

Q: [2x*dx (Ans. 3 2 x' +c ); (xi) J3x°dx - 3 In\x)| 3 |3x'dx (Ans. (Se* –x? +2)dx , (x + 0) (x) x' +c);…

A:

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A:

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A:

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Q: dy y(x + y) dx 6) x(x – y)

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A: Dear Student According to Bartley by guidelines we can answer only one question at a time. Please…

Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find/ S dy

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Q: There are four questions about this problem in the test shown in random order. Out of 1000 customers…

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Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: (In(æ)) -dx; 1

A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t

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A:

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.