Q2:- Check that the indicated functions are solutions to the given differential equation :- 1) y" + y = 3 cos 2x ,y1 = cos x- 2) x²y" + 5xy y' + 4y = 0, y1 = Y2 - cos 2x , y2 = sin x In(x) cos 2x 1 x2

Q: Q1) solve the following differential equation 2- 3- y² (cos x +)dx + (e² + 2yIn(x))dy = 0 (sin³ (x)…

A:

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

A:

Q: 5.) Ms. Cyrus has 64 songs on her phone. Two- fifths of the songs are R&B songs. The rest are jazz.…

A:

Q: Provide a general solution formula for the differential equation y" – 15y" + 70y" – 120y' + 64y = 0,…

A:

Q: Form the differential equation by eliminating the constant 'a' from r=2a (sin 0- cos 0)

A:

Q: xy (yе" сos 2 x - 2e% sin 2 x+2x +(хе" сos 2x - 3) у'3D0

A:

Q: Solve the differential equation, 2ydy = (3y? cot r +sin rcosr) da sin z- sin 3* y² = C %3D csc z csc…

A: We will find out the required solution

Q: Show that the given function is a solution of the differential equation. y" + 25y = 0, y = cos(5x) +…

A:

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

A:

Q: y' + }xy = sin(x 4e¤2 y3 1

A:

Q: Solve the differential equation by variation of parameters. 1 2 + ex y" + 3y' + 2y =

A:

Q: 9. cos(xy) (x dy + y dx) = 0; y(1) = = 10. [y sec2 (xy) + 1) dx + x sec (xy) dy = 0; y (;) =" %3D 3.

A:

Q: 2. Prove that the functions in the right-hand column below are solutions of the differential…

A:

Q: If f(x)=14-x^(2) and g(x)=\sqrt(x+31), compute g(f(3)). Simplify your answer as much as possible.

A:

Q: Provide an appropriate response. 9) _______ is interest paid both on the original principal and on…

A:

Q: Find a second order differential equation so that solves the differential equation for any choice of…

A:

Q: Solve the differential equation y' + y == A) y= Inx +cx-² B) y= Inx +cx-1 C) y= In x+cx-2 D) y= Inx…

A:

Q: SHOW COMPLETE SOLUTION PLS. Show that y=ex(1+x) is a solution of the differential equation…

A:

Q: 8. Find the general solution of the differential equation "+9y=9soc²(3). Answer: y = cos(3x) + c₂…

A:

Q: Solve the following differential equation y'"+2y' +5y= e2*coshx Select one: O a.…

A:

Q: dy Consider the differential equation - 2r da (A) At the point (1, -1), the direction field has a…

A: This question can be solved using the concept of direction field.

Q: 6（c)(d)

A: We shall use the properties of homomorphism to solve this question

Q: Which of the following is the general solution of the given differential equation: O a.y= Ce"+ C,x'…

A: m4 - m2 + 2m + 2 = 0m2(m2 - 1) + 2(m+1) = 0m2(m - 1)(m+1) + 2(m+1) = 0(m+1)(m3 - m2 + 2) = 0(m+1)(m3…

Q: dy What is the general solution to the differential equation dx cos x+sin x 2y for y > 0 ? A cos…

A: topic - differential equations

Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the general solution of the given differential equation: Oy Inic(1+x) = 1 Oy Injc(1-x) = 1 O…

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.