The solution to the differential equation: v² (x +sin*5x) – 3y] dx + (yx² – 3x +xy – 5 + 6y -ysin10x) dy = 0 when x = 0, y = - 1 may be expressed in the form x*ye +;xyª -ysin(cx) + dxy + eyª + fy = ab Find: a + b + c +d+e+ f.

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A: we have differential equation y''+2y'+y=0 given y1(x)=xe-x  thenwe have to find y2(x)

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A: Given - A Bernoulli Differential equation is one of the form dydx + Pxy = Qxyn . Observe that , if n…

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A: Here, De can be written as: y''+14x2y=0⇒P(x)=0, y1=x12ln(x)

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A: Given the differential equation as x2y''-xy'+26y=0y''-xx2y'+26x2y=0y''-1xy'+26x2y=0 Compare it with…

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Q: 1) (-2xy j dx + (Siny-x²)dy -X²³ 2) dy + 3xy dx = x edx g) (3x - 2y + 2) dx + (3Y-Zx-2) dyz 4) (y +…

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: As per our guidelines I am solving one question. Please resubmit other question.  I am solving…

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A: Given: y=c1excosx+c2exsinx is a solution of y''-2y'+2y=0. a) y(-1)=0, y(1)=4 b) y(1)=3, y(2) = 15

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A: Note : "Since you have posted multiple questions, we will solve first question for you. To get…

Q: 13) The linear differential equation whose general solution is given by x = Aet + Btet + cos(3t)…

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A: The given equation is the non-exact equation:

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: The objective of the question is determine the second solution of the given differential equation.