The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in 4.2, 1/2 = √₂(x)]. as instructed, to find a second solution y₂(x). (1-x²)y" + + 2xy' = 0; Y₁ = 1 Y2 e-SP(x) dx y(x) = dx (5)

Q: Solve y" + (y')² = 0.

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Q: Solve the following differential equations: ylnx(dy/dx) = ((y + 1)/x)^(2)

A: Given the differential equation :ylnx(dydx​)=(xy+1​)2 The given differential equation can be written…

Q: The general solution of y' x2 can be written in the form

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Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: Solve the following the exact differential equation : (3x^2y-6x)dx+(x^3+2y)dy=

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A: Given differential equation A differential equation of the form is a linear differential equation…

Q: f '(x) = 4x, f(0) = 7 f(x) =

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Q: Verify by substitution that the family of functions y = -(x) sin(-3x) + cx is a solution of the…

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