Given that y,, = 3e2 is a particular solution of y"-6y'+5y = -9e, and p=x+3x is a particular solution of y"-6y'+5y = 5x +3x-16- Which one of the following is the particular solution of the differential equation y" - 6y' + 5y = 50x? + 30x - 160 – 81le. OAy= 9x2+30+10e2 OB y= 10x+30x- 8le OCy= 50x2+27x+10e2 OD y= 10x2+30x+27e2 OE y= 27x2-81x+10e

Q: The general solution of the differential equation 81.x² y" + 81xy' + (81x² – 25)y = 0 is? Check all…

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Q: The solution of the differential equation xy" – 3xy' + 4y = 0 is O ye = Cjx + c2x² O ye = C1x +…

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Q: 13) Solve the third-order differential equation y"" + 4y': = sec 2x by variation of parameters.

A: The  given equation is  Comparing the given equation(2)  with  the  We have ,The auxiliary equation…

Q: Q2/Solve only three of the following differential equation: 1- y' = xy 2- xy' y+x3 + 3x3 - 2x 3- 2xy…

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Q: solve the differential equation x²y" - 3xy' + 3y = 2×4 ex

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.