(a) -2y+ +3e² = 0, y(0) = 1 dy dx (b) x- da +y = 6xy², y(1) = 3 dy (c) d = 2y² + xy², y (0) = 1 dr

Q: (2x + 3y - 1) dx - 4 ( x + 1) dy = 0

A: Explained below

Q: 17 i

A: Explanation of the answer is as follows

Q: 1. (3xy - 4y - 1)dx + x(x-2)dy - 0

A: This is a problem related to differential equation. First of all we will convert this equation into…

Q: 2. (2x – y + 1)dx + (4x – 2y + 3)dy = 0

A:

Q: 2 dy 1. (x²-1) + 2y = (x + 1)²

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: (2x + ) dx + ( – 2y) dy = 0 12. (2х + 1+x?y², 1+x²y²

A:

Q: (xy² + x)dx-(x²y-y)dy = 0, y(2) = 5.

A:

Q: (x + y²)x dx + (x² + y)y dy = 0

A:

Q: B) find dy/dx if y= x(x-2) x²+1

A: Given Equation in 2 variablesTo find out Slope

Q: dy/dx+4y/x=6x-5 if y=1 and x=1 then C equal -2 2 -1 1 O O O O

A:

Q: dy (x³ + 1)(x² – 2x-1+ 1) of y = dx x² + 3

A: y=(x3+1)(x2-2x-1+1)x2+3

Q: d²y + 4 + 4y %3D 0, у(0) %3D 3, dy (0) = 1 dx %3D dx² dx

A:

Q: (y²-xy)dx + 2 x² dy =O

A: Solution to the differential equation

Q: (2x²+5)dx + 3y dy =0

A: First we rewrite the given differential equation in separable form and then we find it's solution.

Q: ((x + 1)5 + 3y)dx − (x + 1)dy = 0

A:

Q: 2y(y2 - x)dy = dx

A: Given data :    2y(y2 - x) dy = dx

Q: 2. (2x+4y-3) dy + (x+2y-1) dx = 0; y(2) = 5. Determine y(3).

A:

Q: 2 ( 2 2 + 5xy -2y+ 4) dx + × ( 2x +2y-) dy =0

A:

Q: 1. (2xy - 3x?)dx + (x² - 2y)dy = 0

A:

Q: exey (2xe + )dx + ( ) dy - ex ر ول

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (x +3y + 2)dx + 3(x + 3y – 4)dy = 0

A:

Q: f '(x) = 4x, f(0) = 7 f(x) =

A:

Q: d'y Find dx2 (a) y = 6x3 – 7x² + x dy dx? (b) у — 7а? — 6х +9 - d²y dx? x + 2 (с) у — d'y dx2 (d) y…

A: We will solve the problem

Q: If A = 4x³ and (a) TRUE (b) FALSE dt dx 2, then dA dt = 150.

A: As we know the Power law; ddxxn=nxn-1 Given: A=4x3 and dtdx=2

Q: 2 y (y² - 3x² ) dx + x (3y²-x²) dy = 0

A: