25. What is the general solution of th is- following differential equation? u = (sin )(cos 2u) %3D (a) tan 2u = sin r cos I +I+c tan 2u = x – sin r cos I t I COS I +C (b) (c) sec2 2u = sin r cos I + I +c (a) 2 tan 2u = x – sin I cOS I +C - (e) None of the above

Q: Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1…

A: Matching the differential equation with its direction field  y'=9(x+y)-1 x 0 0 0 0 0.1 0.2 0…

Q: The solution of the differential equation (1 + x²). A tan + k B tan-(x) + k C cot-' () + k D…

A:

Q: y'+2*tan(x)*y=tan(x) Find the solution of the equation

A: Linear differential equation

Q: Q.7. y"+6y'+73y = 80e* cos 4x Soln. The general solution is y=Y₁ +Yp The characteristic equation is…

A:

Q: The standard form of the following linear differential equation sec(x) y' + csc(x) y = 1 is: O…

A: Option A

Q: Are fi(*) e" cos(2a) and J2(x) e" sin(2x ) solutions to the differential equation y" – 2y' + 5y U on…

A:

Q: dy = [cotytant cosx dx cosy A siny?= sin2xln(csinx) (B siny= sinxln(csinx) siny= sin2yln(csin?x) D…

A: There is something missing in the given answer list.So The solution with correct answer is given as…

Q: Use variation of parameters to find a particular solution, given the solutions y 1, 2 of the…

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Q: Using variation of parameters, solve the differential equation y" + 3y + 2y = sin(e*). (Hint: [ e²*…

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Q: n Problems 11– 30 use variation of parameters to solve the given system. dx 1. — Зх — Зу + 4 dt dy…

A: As per guidelines we are supposed to solve maximum one question you can repost other questions

Q: Give the general solution of the differential equation p"+ 25 y =2 sec( 5 x) a) O y=C, sin(5 x) + C,…

A: To find  The general solution of the given differential equation.

Q: (8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec): dy…

A: The given function is .The aim is to find the differential for the given function.Formula used:

Q: The differential equation (2 tan(2x) - 2 sin(2x) sin(y))dx + (cos(2x) cos(y Has solutions of form…

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Q: Give the form of a particular solution of the differential equation -2x y"- 2y'- 8y =2 cos( 3 x) – 3…

A:

Q: Consider the differential equation y" - 2y +2y=e*sec(x). Then the particula Oa.e*(-cos(x)in sec(x)|…

A: The formula for the particular solution is  yp=u1y1+u2y2 (Method of variation of parameters) where…

Q: Q16: Is the differential equation (cos x + In y) dx + +e) dy = 0 exact?

A: To check the given differential is exact or not.

Q: s to find a particular sy1, y2 of the s(x))y'+(sin(x) - cos(x)) y = e 2 = e-* cos(x)

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Q: ) Find the first derivative of the following equations: 4u + 3u -2 y = 2r' + 4x10

A:

Q: Use variation of parameters to find a particular solution, given the solutions y1, Y2 of the…

A:

Q: dy Differential equation = f(x) · g(y) can be solved by separating variable as - = f(x)dx. dy + 1+y?…

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Q: In this particular problem, where is the u and du? Why does it suddenly not present in the solution?…

A: the given integral is: ∫esec(x)sin(x)cos2(x)dx let the given integral be I.…

Q: b) Evaluate In x dx. X Question 3 For the differential equation y'+-- sin 2x, y (a) Show that the…

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Q: ollowing differential equation dy y + dx X 11 = ex

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Q: Use Variation of Parameters to solve the differential equation. y"y tanx y C1cos xC2sin x - In secX+…

A: Result used:

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.