D. Use the the given that y = y' + 2xy² y ( 1 ) = 1 is a one-parameter family of solutions of the first-order DI x² +c 0. Find a solution of the first-order IVP consisting of this DE and the given condition = -4.

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Q: 7. y - 5y + 7y" - 5y' + 6y = x² + 3x - 5 Ans: y = C₁e³x + C₂e²x + C3 cos x + C₁ sin x + x² + ²x -…

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

Q: 4. Find the particular solution of xy' – 2y = –x ; when x = 1, y = 5 a.y = x + 4x? с. у %3D х — 2х2…

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Q: 4. Find the particular solution of xy' – 2y = -x; when x = 1, y = 5 C. y = x - 2x² d. y = 2x – 3x…

A: Given that: xy'-2y=-x; when x=1, y=5       NOTE: As per our answering guidelines, we can only answer…

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Q: Which of the following is a solution of the following equation valid near the origin for x>0?…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 3. If X is a solution of the IVP X': Х, X (0) — %3D %3D then X %3D

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Q: Determine the particular solution. O y = 2e-x/2 3 - 4ex 3 y = 4e-(x/2) 3 + ²ex 3 O y = 4e-(x/2) -…

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Q: Find the solution of (2*y² – y) dx + (x²y* – x) dy = 0 o를 +를 - C O 3r°y + 2ry* – Czy = 6 %3D o +를 +금…

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Q: Find the solution (varition of parameter)   X2y11-2xy1+2y=x3sin x

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A: Given thay  y"+6y'+9y=3.5e^(-3t) To fin the particular solution

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Q: Find a particular solution for y" - 4y - 12y = x using the Method of Undetermined coefficients.

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Q: nd a particular solution to = y" + 8y + 16y= = -15.5e-4t t² + 1

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