1. dx+ e*dy=0 5. x(1- y)dx+(x² -2)dy= 0 5. sin2xdx+4ycos² 2xdy=0 dy_ xy+3x-y-3 dx xy-2x+4y-8 . (4y+ yx²)dx-(2x+xy²)dy=0 1. xtan y- y'sec x = 0

Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A: We know that derivatives  general power rule is - d(xn)/dx = nxn-1. And d(sinx)/dx = cosx ;…

Q: 3 tanx dx 3/ secx

A: Indefinite integral: An integral which does not have any upper limit or lower limit of integration…

Q: d^2y/dx^2 − 6 dx/dy + 9y = 2 + x^2 − x^3

A:

Q: The equation (x*y^2 + x – 2y + 3)dx + (y*x^2)dy = 2(x + y)dy is not exact. a. True b. False

A:

Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

A:

Q: y = csc (x’ + 10x), Find dy/dx O (7x6 + 10) csc (x7 + 10x) cot (x7 + 10x)

A: Given: y=cscx7+10x

Q: Evaluate 2x+4 1. fx e**dx 2. SInx dx 3. J x2-2x 4.(a) (e* + 1)2 dx, (b) Sx³e2x dx.

A:

Q: Find the derivative. tan x y=2x-3 2 dx 蚊ě dy (2x-3)2 dy sec2x - 2tan x (2x-3)2 116 dx (2x-3)sec x…

A: y=tanx2x-3formula used (i)  d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x(iii)  d dx(ab)=b×d dx(a)-a×d…

Q: 3+6z²+3z+6 dr z+2z

A:

Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

A:

Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

A:

Q: r1/V1-x 70. (2y + 1) dy dx |-1/Vī=x

A: Consider the provided integral ∫-11 ∫-11-x211-x2 2y+1dydx. Solve the provided integral. ∫-11…

Q: x(^2)+2xy+y(^3)=4 Find dy/dx

A: The given equation is

Q: ting factor for the given differential equation is

A: