Obtain general solution of the D.E. y + (1/3)y = e'y A) 1/x = e (c - 3x) B 1/y³ = e* (c - 3x) 1/y = e* (c - 3y) 1/x = e* (c - 3y)

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A: given :

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Q: he (D'+ 4D+4)y(x) = 5Se equation %3D

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Q: Isn't this a Bernulli equation: y'+p(x)y=q(x)y^n   -->     y'=q(x)y^n - p(x)y y'-y/x = x^3 (y-x)^2…

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A: This is a Non-linear differential equation. Which I have solved by operator method. See the solution…

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Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

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Q: The particular solution for the equation y' – 4y =x , y(1)=2 is Select one: 1 16 4x y = e** y = e*x…

A: Let's find.

Q: Solve the he (D’+ 4D+4)y(x) = 5e equation y,)-(2x+1)e - y,) (2x+1)e y,(x) (2x-1)e 32

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