4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

Q: dx/dt = 2 and y=x^3, what is dy/dt when x=-4,2,6

A:

Q: + 1 =2e- dy

A: Given, Can be rewritten as

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: If y = 2x^2 - 3x and dy/dt = 3, find dx/dt when x=2.

A:

Q: 3. II Azy'dz dy = 2y°(3² – 1)dy | 2y (y? – 1)dy 1

A: Given that a double integration .We use general  property of integration to solve this integration.…

Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: dy = ay + by", dt a > 0, 6 > 0, -∞ < Yo < ∞

A: A differential equation is given by, dydt=ay+by2 for a&gt;0, b&gt;0, y0&gt;0. The objective is to…

Q: 1-Vy dy Vy 4

A: We need to find the given integral.

Q: 6x-9 =? dy Sx + uy dt

A: Given system of differential equation is dxdt=6x-ydydt=5x+4y In matrix form, we can write it as…

Q: find particular solution of (16x+5y)dx+(3x+y)dy=0. If the curve to pass thru the point (1,-3)

A: Given: 16x+5ydx=-3x+ydydydx=-16x+5y3x+y               It is a homogenous differential equation.…

Q: : )-+(÷), zw= (C) dx 1 et %3D dt 1 (: :)-+(-), -= (C) dx dt 1

A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

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: /2x- xy dydx = 0,

A:

Q: Find dy/dx if y =3x2/3− 4x1/2 −2

A: Here given as

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

A:

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

A:

Q: Find dy/dx if y = u5 - 2u3 + 8 and u = x2 + 1.

A: Given function are: y=u5-2u3+8......(1) u=x2+1......(2) The objective is to find the value of dydx.

Q: Evaluate f, f,(1-2) L(-dy dx dz

A:

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

A:

Q: 2²ye+v°-²dx dy dz 1 -1

A: We have to calculate the integral.

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

A:

Q: Jz{sinh³ 4z*)'^ ² - dz 1/4 cosh³ 4z'

A:

Q: dy 5. S: y(1-Vy)2

A:

Q: If y=(6U2-7)3 and U=(9-2x)5 then find dy/dx and evaluate when x=5.

A:

Q: 2 In sec Vi + tag V + C sec sec z dz %D

A: 35. given integral,∫sec x . dxx = 2∫sec x12 . 12x-12dxlet x12 = u⇒ 12x12-1 dx = du⇒12x-12dx = du

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

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

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

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

Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

A:

Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

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Q: dy 6. if y = (1+x²)etan-1x

A:

Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

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

A: our objective is to find the derivative.

Q: Z eXZ 4. xyz dydx dz

A: Solution:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: Suppose 4x + 9y - 25, where x and y are functions of t. (a) If dy/dt-, find dx/dt when x = 2 and y =…

A: Given: 4x2+9y2=25 Since, x and y are functions of t, therefore differentiating each sides with…

Q: 15. If y3 – xy = 5 ,1 d²y then dx2

A: y3-xy=5

Q: Q3) Find dy/dx if 1- y= In /x 2- y3xsin

A: 1) d(ln(x))dxApply the chain rule: 12ln(x)d(ln(x))dx

Q: 3 -V7 dz dy dx dy dz dx

A:

Q: Vy2 -25 dy S y3

A:

Q: 3) Find d²y/dx² at the point (1, 1), if x6 + y6 = 2.

A:

Q: 7 5-y y dx dy 3y

A:

Q: Integrate both sides = S sec²y dy = S dx

A: ∫sec2y dy=∫dx

Q: 4. If s t-5t2 + 5t - 3, the velocity is equal to 2 if t =,

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: 1 dz -÷z³ = t² + 3t – 2 dt 3 z2 -

A: Differential equations and their type

Q: Find at x = -2 if y = - 4x² + 3 and dy dt dy dt = dx dt - 1.

A: Topic = Derivative As per guidelines , at a time only one question can be answered. pleas repost for…

Q: 12y dy 4+9y° sec (t)+3 tan (t)+sin |dt 7

A: c) Given integral is ∫12y24+9y6dy. The above integral can be written as ∫12y24+9y6dy=12∫y24+9y6dy.…

Q: Can i get help step by step please

A: