The general solution of y" – 4y + 4y = 0 is O y = Ce2t + C2e-2t -2t y = C1e2t + C2te O y = Cit + C2ť² O y = Cet + Czte²t ,2t

Q: S={(x,y)∣∣x is the son of y}

A: The given set S={(x,y) | x is the son of y} is not a mathematical or geometrical expression. It is a…

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

A:

Q: 2.P=12x+19y Subject to ちx+4y>=45 2x+5y=0 3.P=zzx+26y Subject to X=10 Y=18 X,y>=0

A:

Q: 4. (x 2)2 + (y + 4)2 = 16 %3D

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Given y1 = Vi a solution of 4t²y" +y= 0. Find a second independent solution.

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Q: Solve the IVP y" – 8y' + 25y = 0; y(0) = 2, y'(0) = 2

A:

Q: Find the most general antiderivative. | (7x3 - 3x + 2) dx A) 7x4 - 3x2 + 2x + C B) 21x2 - 3 +C C)…

A:

Q: (a) Verify that yp, = 3e2* and y,, =x² + 3x are, respectively, particular solutions of y" – 6y' + 5y…

A: To verify the given statement and to find particular solutions by using the given statement.

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: y=c1J3(/3x) +C2J3(/3x)is solution for x?y"+xy'+ (9x-3) y=0 ylgn ihi

A: True

Q: 6- Show that y = xsinx is a solution to y +y 2cosx

A: The given differential equation is: y''+y=2 cos x

Q: a) X +y-2 = 8 2x-2y+2=- / x +5y -32= 22 %3D %3D

A: The given system of equation is: x+y-z=8                                       .....  (1)2x-2y+z=-1…

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.