Let y(x) = c1 + c2x + C3 et is a general solution for D. y" + ay' + by +cy 0, Find the value of a?

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A:

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A:

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A: We know that the product rules of the derivative d/dx(uv)=u*(dv)/(dx)+v*(du)/(dx)

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A:

Q: Find D,y, given y = 3e" (2x – 5)*. D.y = 3e [4(2x– 5)'(2)]+(2r-5)'(3e") = 24e" (2x – 5)' + 3e"…

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Q: R= {(x,y) | X is the sister of y}

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A:

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A: see below the answer and calculation

Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

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A: We can find the integration as below.

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A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

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A:

Q: Y = -2X, then p(X, Y) = 1?

A: Solution

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A:

Q: Q: (2x+y)(x+y) ах Find -?

A: Given query is to find indicated partial derivative.

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A:

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A:

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A: To solve the differential equation

Q: c) rx+qx-d3 ge (e) zx 5g(2x-c)

A: Use basic algebra

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.