Using Separation Variable. 1.) dy/dx = (2-y)^2 / 2(1+x)^1/2 2.) In x dx/dy = 2 / xy^3

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

A:

Q: Differentiate. y = Jex +8 dy dx

A: The given equation is y=ex+8 To find: dydx

Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: dx xーメ

A: Explanation: Given that,  ∫x4+1x3-xdx Now we will perform long division and we will get…

Q: 3 + 2/5x-3 dx. Find 4x+1 - Vez

A:

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: V3/2 1 dx%3D 6). V1- x 1/2

A:

Q: 2x3+2x2-2x-1 dx x2+x

A:

Q: dx I cos (x)

A:

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

A:

Q: 2x+(4x+y-6)dy/dx=y ODE

A: In this question, we need to solve the given ODE.

Q: y=10tan.x

A:

Q: 2. Evaluate. (Зx* - 2х + 1)dx -2

A:

Q: Evaluate. (use C for aonstant of intgration) dx 2 X "- 3

A:

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

A:

Q: dy_2y-x+5 dx 2x- y-4

A: Find the solution of the ordinary differential equationdydx=2y-x+52x-y-4

Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

A:

Q: 1 + 2x dx 1

A: