p= I.F. = e/P(x) dx Now solve (I.F.) y = f (I.F.) - Q(x) dx 9. Solve the linear ODE using an Integrating Factor. dy3y8e5x - = dx 10. Solve the linear ODE using an Integrating Factor. x² + 2xy = 3sin(8x) dy dx 11. Referring to #9, find the particular solution to the DE if y(0) = 6. (I.F. denotes the integrating factor)

Q: dy-3x²e-3x dx = 3y dx

A:

Q: x -Jx-15 = 3 Salvethe equation

A: We have to solve the equation                                              x-x-15=3

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

A:

Q: Which of the following functions is a solution of the exact equation? (6x + 4y)dx + 4xdy= 0.

A:

Q: - у = 3x-2 4x-5

A:

Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

Q: 9/2 dy dx

A:

Q: Compute if df = 2 and dx du dx = 6.

A: It is given that,

Q: So 0 xe- dư x²

A:

Q: (x+ 3y – 5)dx – (x - y– 1) dy =

A: the given differential equation is: x+3y-5dx-x-y-1dy=0 we have to solve the given differential…

Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

A:

Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: Find d2y/dx2 for the equation x=x3y2-3y3

A:

Q: x-1 .2 x-2x

A: We need to evaluate the given integration for which we will use substitution method.

Q: 3 1 dx x2

A:

Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

A:

Q: 히 dy Find dx • for the function y = 5X. 히 dx

A:

Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: 2nlne ne éé dy dx ere

A: Given integration is : ∫0lnln8∫y=exln8exeydydx To find the value of given integration.

Q: Y(3x*2)dx + x (1-2y) dy-0

A:

Q: Solve the following ODE * (y+x*y²) dx+x dy = 0

A:

Q: Find the derivative. d dx 3x²+1 A ex-3x² +1. (3x³ - 6x) B. ex³-3x² +1. (3x² - 6x + 1) cex³-3x²+1.…

A:

Q: Xe dx

A: The detailed solution is as follows below:

Q: dx e2x – 3e* 1.

A:

Q: Differentiate the function. y = (4x-11)2

A: Chain Rule of differentiation : dydx=dydu·dudx

Q: a. (In(x² − 3x + 1)) = = b. — (In(ex + 5x)) = d a + (n (+)) = [ C. dx +1 Hint: Use properties of…

A:

Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

A:

Q: Vi-F dy dx -1 Jo

A: To evaluate the given integral: ∫-11∫01-x2dy dx