dy Find dx Assume a, b, and c are constants. ,3 (a) x² + y³ = 8 2 (b) ax² – by? = c². -

Q: dy Q1: - find ay/dx for y = 5cscx3

A:

Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

A:

Q: Q3) Evaluate xty'dy dx?

A: Given: ∫24∫12x2y2dydx

Q: Find dy/dx in terms of t if x = t – t°, y = 2 + 9t

A: Given, Now differentiate with respect to t we get, dxdt=1-3t2dydt=9

Q: d?y dy 2- 8y = 8x? + 20x + 2, at y(0) = 0 and y(0) = -8 dx? dx

A:

Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

A:

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: dy Find at the given point. dx 2x e 8y = 8 at (4,0) %3D

A: Given : 2xe8y = 8

Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: Find dy/dx in terms of x and y if ax' – by = c°. Assume that a, b and c are constants.

A:

Q: 2. Given that y = (a + bx)e-* where a and b are constants, show that +2 +y = 0 dx2 dx

A:

Q: dy ·Given y = 2u² and u = 8x- 1, then dx

A:

Q: dy dx? Find in terms of x and y. x°-y° = -3

A:

Q: Find dy dx² for x =t2 + 1, y = t +t³. d²y dx² ||

A:

Q: 2e2x -1 Let y = %3D et dy Find dx

A:

Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

A:

Q: dy Find dx x = 7 y = 2-1

A:

Q: What is dy/dx of the given function ³ - 2y² = 6 ? 0-²2 3:² CHE o 3,212

A:

Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

A:

Q: dy dx What is y(2)? Suppose = 6x² + 2x − 3 and y(0) = 4. - oy(2) = 14 oy(2) = 16 oy(2) = 18 oy(2) =…

A: The answer is given below:

Q: What is the value of dy/dx at x = 4 of the function? x-5 y = 2x+1

A: Given                     y=x-52x+13 we know that…

Q: Find​ dy/dx by differentiating implicitly. When​ applicable, express the result in terms of x and y.…

A: Given : 5x+7y=3

Q: a) Find dy =dx when y=(x² – 5x +7)*

A:

Q: dy (3x+4x (2x – 1)° , find the dx Let y =

A:

Q: Q3/ B: Classify then solve d'y dy (x + 1)? + 3e* dx dx

A:

Q: dy By separating the variables, solve the equation dx given that when x = 0, y = 0

A: e^y =(e^(- x^2) +1) /2

Q: Find (D2Y/DX2) for y=e-4x^2

A: We have to find second derivatives of the function: y=e-4x2 We will use following formulae:…

Q: dy If y = sin(5x – 7), then dx II

A: Given that, y=sin(5x-7) We have to find first derivative of the given function.

Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: Sove for dy 4 X3 hy= e*csch (2-y?)

A:

Q: y = sinx + x² to dy dx? x² y +2

A: Given, y=sinx +x2 Differentiate two times with respect to x to get required differential equation.

Q: dy at t = 2. dx If x = 5t +4 and y = 3t° -7, then find а. 4 b. 1 с. 2 d. 3

A:

Q: dy If =-x+4x -3 and y =2 when x =0 then y is equal to dx

A:

Q: dy Find of y = e4-3x + 63x*-2 x+5 dx

A: Given  y=e4-3x+63x4-2x+5 Find dydx

Q: dy Q5/ a) Find if y = esin(2x) dx

A:

Q: If y = = e2a + e3x, then d y at x = 0 equals dx3 %3D

A: Given: y=e2x+e3x

Q: Find dy/dx and d²y/dx2. x = e*, y = te-t

A:

Q: (b) Given that, V2x + 1 and y = 1, when x = 12. Express y in terms of x. %3D dx

A: Topic :- Differential equation

Q: Ε. = Oy dx 47&a• (x +y)3 2

A: Introduction: The definite integration is the integration where we put limits over integration.…

Q: dy Find for x=secy dx A xsinx B D 1-x?

A:

Q: Evaluate dy/dx from the equation 3xy^2 + 4(y/x) - (y-5)/(2x^2 - 1) = 11 when x = 1.

A: Given equation,  3xy2+4yx-y-52x2-1=11 Differentiate with respect to x

Q: dy when x = 1. dx If y = u" and u= 6x +6, find (Simplify your answer.) dx x= 1

A:

Q: dy = a-x dx when x 1, y = 2 when x = 2, y = 0 %3D what is the value of a?

A:

Q: Find dy/dx in terms of x and y if ax^2-by^5=c^2. Assume that a,b, and c are all constants.

A: Given equation is-  ax^2- by^5= c^2

Q: dy 3x + et Find for y = dx x2 – 5 Ans=

A: y=3x+exx2-5To find dydx

Q: Find dy/dx in terms of x given that x = e3t, y = e2t+3

A:

Q: dy Find the equation of the solution to dx x°y through the point (x, y) = (1, 2).

A: