Find (a) the general solution and (b) the particular solution for the given initial condition. 8 y' = =+5x² - 2x³, y(1) = -4

Q: Find the solution. y'+=V5.y(1) = 0

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Q: Determine if the equation is exact, then if it is exact, find the solution. (2x+3)+(2y−2)y'= 0…

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Q: Find the general solution of the following DE in explicit form. y' =2+2/y-2x+11

A: Solution: The differential equation is y'=2+2y-2x+11 Suppose that v=-2x+y so that y=v+2x Then,…

Q: f'(x) = z - 4r+ 12z + 12 and f(0) = 7.

A: f'x=x15-4x3+12x+12  &  f0=7 Integrating on both sides with respect to x, we get ∫f'x…

Q: X = y + % y = 0.000396707 – 0.24576 x2 22 = 0.00029753 - 0.12288 x²

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Q: p" +2y' – xy = 0 n(x)= e

A: Given

Q: Write solution by hand

A: Step 1:Solution-Step 2:I.F.= Integrating FactorStep 3: Step 4:

Q: x(y')2 - 2(y')3 - 2x - y = 0 find the general solution of the equation

A: Given differential equation is, xy'2-2y'3-2x-y=0 Let, the given equation be, y'=dydx=p Thus,…

Q: Solution: y1 = 1.450000000; y2= 2:085625000; y3 = 3:079099746

A: Here, initial condition is given at x = 2.Therefore, start with x0 = 2.Given equation is:

Q: Find the particular solution. y' = ex − 8;    y(0) = 9

A: Given, y' = ex − 8

Q: (a) y" – 4y" + y' + 6y 0. (b) y" – y" + 2y' = 0.

A: General solution for the Homogeneous differential equations with constant coefficients

Q: y' = 5y + e-2*y¬2

A: The differential equation is given as , y'=5y+e-2xy-2 find the solution.

Q: value of positive 1. Then find tne constant coefficient of the following. x²y°| b. x³y? а. 3,,3

A: