The general solution of the differential equation y" – 6y' +9y = 0 is | OA.y = e* (C1 cos 3x +c2 sin 3x) C1 cos 3x +C2 sin 3x ,3x OB.Y = (c1 +cx )e3* c. = C1 cos 3x +c2 sin3x -3x +C2e 3x OD. Y = Cje +cze³ OE.Y = (c1 +cx)e=3*

Q: y = (C₁ + C₂x) eª + sinx+x²; y" - 2y' + y = −2 cos x + x² − 4x + 2

A: Here we find the first and second derivatives of given solution and then put in the left hand side…

Q: solve et (l-t)? with y coJ=2 and y'Co)=6

A: We have to solve

Q: Solve the differential equation y"-3y'-4y 0 O y= e3* (c cos 2x + C2 sin 2x) cos 3x + c2 sin 3x) O y=…

A:

Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: Show that w(t) =〈sin(3t + 4),sin(3t − 2)〉, cos 3t satisfies the differential equation w''(t) =…

A: Given- wt=<sin3t+4,sin3t-2>,cos3t To prove- That the above expression satisfies the…

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: 3x'y"+2xy' = 0 %3D

A:

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.