1. Solve for 'x': vx + v2x +7 = 8

Q: 4 ( Calculate -2x dy

A:

Q: B- Find if y = (x²+1)(x+3)²/2 -, x >1. dx X-1

A:

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: 13 [* Vx2 +y dydx 00

A:

Q: 3) S x tari'x dx X,

A:

Q: find d^2y/dx^2 if y= 17/ x^3

A:

Q: dt - 5t 4. | zv V100 – x² dx > 6.

A:

Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: solve using non-exact (x+4y3)dy - ydx = 0

A: Solving the non exact differential equation

Q: 18. S V1+x dx 1-х

A:

Q: Q2/ if y = Jsec3 /sin+Vx+ x² 4. find y'

A:

Q: 6. Solve (dy)/(dx) + (1 + y ^ 3)/(x * y ^ 2 * (1 + x)) = 0

A: Differential equation problem....

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: 18 Find J4 dx.

A:

Q: 4. 5. (3t dt)/((t² + 3)) dx/ (3x + 1)

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

Q: Solve X(Inx - Iny)dy - ydx = 0 %3D

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

A:

Q: Solve 4 x*dy +y*dx = 0

A: The given differential equation is: x4dy+y4dx=0x4dy=-y4dxdyy4=-dxx4

Q: -2x y" + (e by = 0 (e-* = z) -

A:

Q: 2²ye+v°-²dx dy dz 1 -1

A: We have to calculate the integral.

Q: 2e2x) when x=0 and y=3. dx Compute

A:

Q: 7. Solve: dy x + 3y d.x 3x + Y

A:

Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t & y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1…

Q: x7= - 3x + 18 JZ - 54 in (3+ 57) + c 3/2 2 dx = %3D 3 + VX 3

A:

Q: 5) SOLVE dy 2 y (1) == (ive) dx 2

A:

Q: + 2y = 1- x>0 dx

A:

Q: 3 メ=3tL 2. dt 2. dyt d x

A: x and y are function of t we have to find out the first derivative and second derivative for the…

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Sz sin³ y dy 8. 3 2

A:

Q: y 3D 1 y = secxtanx; y

A:

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

A:

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

A:

Q: 4. Solve for 1 [(ax)²-b²]³/2 J dx.

A: See this solution in below.

Q: Z eXZ 4. xyz dydx dz

A: Solution:

Q: Find dydt at x=3 if y=4x^2−4 and dxdt=3

A: Given  Differentiating with respect to x, we get

Q: 1,- X73X+2 dx (x+リ) Izafhinx dx Ax. Iォfュース alx dx X43X+2 X+1

A: Since, you have posted multiple, we will solve only first part. If you want solution of other…

Q: 2 1 ex -dx x2

A:

Q: Q1) Find 2/3 dx a) Jas x*/9x² – 1 V2/3

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4. Find 3x 2t dx/e²t dt

A:

Q: 1. Solve (6re",x0 b. [3cos 2xsin 7.xdx

A: here we have to evaluate  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3 , x>0b) ∫3cos2x sin7x dx

Q: 2. Find in terms of Jo and J,: x²½(x)dx

A:

Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

A:

Q: L,x – x*) dx = ²

A:

Q: Solve Yor メ= o-5 X (6)=0 %3D dy

A:

Q: Find the complete solution of √1 + x² dx + x(1 + y) = 0

A:

Q: 5) SOLVE dy _ yz %3D x2

A: A differential equation is an equation in x,y and derivatives of y. An ordinary differential…

Q: Solve dy 2-x -subjectto y(1) = 0 dx ху

A:

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A: