What is the appropriate integration factor of the given 1st order linear differential equation? 5(x8+1)y′+5x7y=10x8, x>0. (image)

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A: Given: yx+5+y'=0 ; y-10=1   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

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Q: (x-y)y-y-tanx is second order linear differential equation.

A: False.

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A: Given: Differential Equation: y'+2x-5y=0Initial Condition: y5=2 To Find: The particular solution

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A: Topic - differential Equations

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A: Let us solve the linear differential equation in the next steps.

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.