Solve the equation 3(1+ 2 sin y +2 cos y)dr + 2x(cos y- sin y)dy = 0 Select one: O None of the given answers is true O r - 2x° sin y + 2x cos y = O r – 2x sin y – 2x° cosy= c %3D O x + 2x sin y + 2x cos y = c O x3 + 2x3 sin y – 2x cosy = c %3|

Q: Find y". y = 6 sin(2x + 10)

A: Given,            y=6sin2x+10

Q: fip xp COS T 2. Oa) 2x sin(x) cos(2x) P-sin(2x) d- sin(x)+2x Osin(x) acer

A: y=cos (x2) We need to find dydx

Q: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: d (x2+2x)(sin(x)+5) 7. Find: dx Зx+2

A: To find:

Q: The S- 3 dx is 5 sin 6x

A:

Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

A:

Q: b. S(5 tan 3x - 2 sec2 x)dx

A: 11.b) ∫5 tan 3x-2 sec2x dx

Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

A:

Q: Find all solutions Cos(x/2)-cosx = 0

A:

Q: O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

A: Integral

Q: (1 point) Check by differentiation that y = 3 cos 2t + 3 sin 2t is a solution to y" + 4y = 0 by…

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.