Find two linearly independent solutions of 2r2y"- xy' + (-4x + 1)y = 0, x > 0 of the form Y1 = r (1+ a1r+ azx? + azr³ +) 2 = r (1+ bjx + b,x² + bzx³ + ...) where ri> T2 Enter TIㅋ 1 a1 ㅋ -2 a2 ㅋ 6/5 az = T2 = 1/2 bi = 4a0 b2 = by =

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Q: The characteristic equation associated with x" + 19x' - 27x = 0 is Select the correct response: m2 +…

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Q: 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 1 2y = (2x+3) 2 In (2x+3) In(2x + 3) 3 y=…

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Q: Example 4: Solve y" + 7y' + 10y = 2x + 3e*. y" – 3y' - 4y = 2x2 - 3. iii) y" + 2y'-3y 7x-3x. iv) y"…

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Q: Obtain the genral solution to (D5-15D³+10D² +60D-72)y=0 y=e²x(C₁ + C₂x) + e-³x(C4+C5x) y=e²x(C₁+C₂x…

A: Given differential equation is D5-15D3+10D2+60D-72y = 0