y" - 4y' - 5 y = f Cx) has y= 3x Then, what is the general 3. Suppose the equalion. %3D 0 Solution SP Solution of the equation.

Q: If m/1 68 and m/2 = 47 then mZ3 %3D %3D 3. 2.

A: We have to find the value of angle 3 from the given diagram.

Q: The equation y3=3Bxis the general solution of

A:

Q: 27. Solve: 2 + V12 – 2x = x

A:

Q: y' + 18y" + 81y' 0. =

A:

Q: The solution of the  equation 2y = 5y - (18/5) is

A:

Q: dx J x* – 1

A:

Q: Differentiate: 1. y = x*-x + 5 2 2. α : e+1

A:

Q: y=2.2x+12      x= y=2x−6.1     x= y=5(x+5)−1 x=

A: 1. Given y = 2.2x + 12 y= 4x + 12 4x = y - 12 x = (y - 12)/4 Or   x = (y/4) - 3

Q: 16у х- (х- у) %3D (X)

A: Given

Q: y6) + 25 y" = 0 p(6)

A:

Q: 8. (D2- 2D+ 1)y = xlnx

A:

Q: Solve y" +3y' + 2y = 0

A:

Q: y" +y = 2xsinx

A: Let's find.

Q: Use the method of variation of parameters to solve y" – 4y +4y = 2e". %3D -

A:

Q: - Solve for x: x² - 3ax = 4

A:

Q: Solve yuyx - Ux=4/x

A:

Q: Find a particular solution to y' – 2y + y = -13.5e". Yp

A:

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve dy = (1+ 3ytan a) da

A:

Q: Fl)=3x"-7 and glx)=3x+18 -whatig Cg-f)(-3) what is or

A:

Q: Linearize the non-linear equation: 1. y=c+ax^n

A:

Q: Solve the equation y" – 8y' + 16y =t-te*.

A:

Q: Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

A: To Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

Q: D. Solve the equation zx = x² + xy? when x = 0, z, = y³ and when x = 2, z = y.

A:

Q: Solve for all solutions to 2cos 2t = v3 %3D

A:

Q: (3x2 + бху?) dx + (бх?у + 4у) dy %3D0

A: Given differential equations is an exact equation

Q: How are you getting a negative for a and where is the equation coming from for b?

A:

Q: (4х* — 4х у + Зу* + 2) dx +x(2х — 2у + 1) dу %3D0

A: missing details.

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.