Which of the following differential equation has a solution as y = c;e + cze + C3zez ? O a. y" +4y" + 3y' + 18y= 0 O b. y"- 4y" - 3y'+ 18y = 0 Oc.y" - 4y" - 3y'- 18y = 0 O d. y"- 4y" + 3y' + 18y = 0 O e. y"+ 4y"- 3y'+ 18y 0 %3D

Q: Which of the following functions is the solution of the differential equation dy + 2y = 0 de А.…

A: Given differential equation is  dydx+2y=0

Q: Let r=5+4 i, 5-4 i,4 be the roots of the auxiliary equation of the 3rd order D.E. y" + Ay" + By' +…

A: Hence the axillary equation is given by      {m-(5+4i)}{m-(5-4i)}(m-4) =0     {(m-5) -4i} {(m-5)…

Q: What is the general solution of the differential equation below? RS (2 points) (cos2y - 3x?у?)dx +…

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Q: I (1-x) y"- 4xy't 5x = cos x 2 d + tx=0 3. to ylm) _ t° y" +6y = 0 4. x + Y =0 dx 5. x y' - 4 seny =…

A: Linear equation means independent variable is in linear. That is independent variable is free from…

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. A. y"-3y' = 0 3y" - y'= 0…

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Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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Q: Match the solution curve with one of the differential equations. Where Oy"+y=0 y" + 2y' + 2y = 0 Oy"…

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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.