1. Find the dy of the followings: dx (iii) y = (4x² – 20)(6x + 5) (iv) y = (4x² – 20x + 50)6

Q: Z4 =:₂₁ (4x²yz - dz dy dx S₁

A: Given ∫23∫-14∫104x2yz-z44dz dy dx ∫23∫-14∫104x2yz-z44dz dy dx=∫23∫-14∫104x2yz dz dy dx -…

Q: 2 V4-22 xy dy dx dz

A:

Q: (x-2) (x³-4) Vx² +1 dy 1. If y = then equals to : dx

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: Find P.S. of (16x+5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-³)

A: The given equation is: (16x+5y)dx+(3x+y)dy=0⇒(16x+5y)dx=-(3x+y)dy⇒dydx=-16x+5y3x+y⇒dydx=-16+5yx3+yx

Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

Q: 1 В(т, п) ym-1(a – y)"-'dy. am+n-1

A:

Q: H.w: find dy dx 1- y=-10x+3cosx

A:

Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

A:

Q: +x = 4cos2y dy

A: P⇒dxdy+x=4 cos 2ygiven D.E is in the form of dxdy+P(y)x=Qywhere P(y)=1  and Q(y)=4 cos 2ythus…

Q: Find dy/dx, given the following: y = (2+2x) * V2r-4 (z3 +2x) 17-36z2+10r-24 (2x-4) (2x-4)? (z+2x) (…

A: y=x3+2x32x-4Differentiate

Q: if 3x - 2e Find dy dk %3D

A:

Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 3. fy dy + 10g = e + dt +7 -2t

A:

Q: 6- Find ify dy t2 and t = V2x +1 dx t2+1 dy A): 2 dx 4(x-1)2 dy B) dx 2 2(x-1) dy C) dx (x-1)2

A: We can do this by chain rule or by putting value of t in y y=t2t2+1put…

Q: Find dy dx dy if y dx = x³ + 8x + 6 x² - 5

A: Given: y=x3+8x+6x2-5

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

A:

Q: 17. (Vx-x)dx (1-x²) dr 18. 19 o. Sy² dy 20.

A: Given problems:-

Q: find dy/dx 3x² +5y'x² +4/y, a) x² +4x,/y-5y² = 3 (ans.: 2x 10x'y- Jy

A:

Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

Q: Find the dx/dy of 2x² + 4y² = 4.

A:

Q: integrate the following ∫(y-2 + 1/2y - 1)dy

A:

Q: In the given y = ,what is its! 2x2 +3 dy ? x+1 2x2-х-3 a) (x+1)(x+1) dx 6x2+4x+3 b) (x+1)(x+1)…

A: Ans :  To solve this question, we will differentiate the given function y with respect to x using…

Q: 5) If y- x-2x and at ts V2 Find dy

A: To find dy/dt at t=sqrt(2)

Q: dx xy+3x-y-3 dy xy-2x+4y-8

A:

Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvlnx 2- у %3 V x2+1

A:

Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given that, 17)  5xe9y=12; 1,018) x2+3y2=13; 1,2 Find the derivative. Here we use the…

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: dy 6. if y = (1+x²)etan-1x

A:

Q: ху+3x- у -3 dy %3D dx xy-2x + 4y- 8

A:

Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: if y =(5x+1) 2x^-1 + INx then dy/dx will be

A: our objective is to find the derivative.

Q: dy e2x -3 Find if y = In %3D dx 1-4x

A: SOLUTION-

Q: dy/dx 5 - y = In(x – Vx²+ 1)

A:

Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

A:

Q: In Prob. 1-38. Find dy/dx.

A: Given; y=e2x+3.

Q: 1- (2 xy-4 y) dx+(3x²y-8x) dy30

A:

Q: find dy/dx in plicit dèfferatien XY +5x+5x²=2

A:

Q: Vy2 -25 dy S y3

A:

Q: 14. Evaluate 4y dx +3ax dy, where C is the trapezoid with vertices (0,0), (2,0), (6,2) and (0,2).

A:

Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload…

Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

A:

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: 2 Z - 6 A xy dy dx dz 3.

A: ∫03∫09-z2∫0xxydydxdz

Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

A:

Q: -3 -2 ²₁ ² [z³(x + y)³] dz dy dx

A:

Q: if y=(x+1/x)/(2x-3) the dy/dx will be

A:

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: 14. Find dy if y = sec(x² – 1). |

A: