Solve the first 6 terms (y(x) ao + a₁x + a₂x² + +a5x5) of the power series solution of y" − 7xy' + 3y = 0 with initial condition y(0) = 2 and y'(0) = -1

Q: 203six -53six= 412six -22six=

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Q: 20x +5 24x-1

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Q: X+6

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Q: Differentiate.   y= 4x3-7x2+15x+3

A: Topic:- application of derivatives        Using If  F(x) = ax^n  F'(x) =an x^(n-1)

Q: Integrate +9 +C

A: topic- indefinite integral

Q: 2y=3x-5

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Q: Write all solutions to x^2 = -100

A: x^2=-100 x=+-sqrt(-100) x=+-10sqrt(-1) we know that i=sqrt(-1) then value of x given by- x=10i and…

Q: Simplify  3-1/y-5/4/y-5

A: Observe the following fact.

Q: 18x-23 Jan?-24 4416 -244+16

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Q: 2x + y -4 %3D -2y + 4z = 0. 3x - 2z = –11 %3D -

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Q: Evaluate: 6x -8x +18x-27 x* +9x?

A: This integral can be solved by the method of Partial fractions. The process is explained in step 2.