21. Which of the following transformations ensures that the differential equation below du (r+3u + 5)- + (2x + 7u + 1) = 0 dx becomes separable? I= X+ 32 and u = U-9 %3D (b) T = X + 13 and u = u-7 %3D (c) I = X - 32 and u = U +9 (d) r = X- 13 and u = U +7 (e) None of the above

Q: Which of the following is the transformed form of the 2y = x(y')³ – (v')² + 1 differential equation…

A: Given 2y=xy'3-y'2+1

Q: What is the differential equation of the solution: y = C1e-6x + C2e4x ? a. y'' - 2y' - 24y = 0 b.…

A:

Q: (2x + 3)y' = y + (2x + 3)/½ a. y =- In(2x + 3) + C b.y = (2x + 3)In(2x + 3) + C c.y = (2x + 3)(In(2x…

A: The solution of first order linear differential equation of the form y'+P(x)y=Q(x), is…

Q: Find the value of k so that the given differential equation will be exact

A:

Q: Which of the following is the transformed form of the 2y = x(y')³ – (y')² +1 differential equation…

A: We have 2y=xy'3-y'2+1 Now , differentiate both sides with respect to x:…

Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

A:

Q: The solution of the Ordinary Differential Equation y(3) - 4y" + 5y' = 0 is: a. C₁+e²x (c₂cos(x) +…

A:

Q: The complementary function(C.F.) of the differential equation(D – 2)°y = sin 2x is_ O (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: Which of the following is the general solution to the differential equation 4xy = -x² – y? dx for x…

A:

Q: The general solution of the differential equation x2y′′+xy′+(25x2−9)y=0x2y′′+xy′+(25x2−9)y=0 is?

A: The differential equation of the form  x2y''+xy'+x2-ν2y=0            i is referred to as Bessel's…

Q: - 2y' + x = 0

A:

Q: The differential equation governing the free response of an accelerometer is given as: 4.6 x 10-12 i…

A: Given differential equation, 4.6×10-12x¨+5×10-7x˙+0.4=0 Lets write given equation in second order…

Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: The differential equation (1+ a) (dy dx) = 2rydz for y (0)- 1 has an integrating factor o (z) that…

A:

Q: Transform the given differential equation into an equivalent system of first-order differential…

A:

Q: What is the general solution of the differential equation xy"+y'=16x ? y = 4x+C₁₂(lnx) B…

A: The given differential equation .We have to find the general solution to the differential equation.

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.