iv) if zx = (y)¯1 then zx/Zy %3D

Q: Find y (2) if D.E. 2 dx +3y=sin 2x₁ y(0) = 6

A:

Q: 12. V5x + 4 dx, u 5x 4 %3D

A: To solve∫015x+4dx

Q: ex- ex - y%3D ex +e-x

A:

Q: dx Vx2-4 2.

A: Let's find integration.

Q: pemplicit derivativeg 3 find y' if y is a function of x .

A: topic - implicit differentiation

Q: x²y = (1+ x)cscy. %3D dx

A: Given data: The given differential equation is x2y(dy/dx)=(1+x)cscy. The given differential equation…

Q: dx xーメ

A: Explanation: Given that,  ∫x4+1x3-xdx Now we will perform long division and we will get…

Q: Evaluate dy.

A: To find: The value of dy. Given: The value of y is 3x-72x+1; x=2 and ∆x=0.003. Formula used:…

Q: 3. dx (x²+1)² -3 d x XVX +3, dx x2

A: Evaluate the given integrals

Q: M/2 z/w = /w W%3D

A:

Q: V3/2 1 dx%3D 6). V1- x 1/2

A:

Q: S(3 – x) dx 12

A:

Q: Find the derivatives of the functions in Exercis

A: We need to find the derivative of the function, y=5-2x-3+182x+14

Q: (1-y)dx – xydy= dy

A: 1-y2dx-xy=dy1-y2dx=dy1+xydydx=1+xy1-y2…

Q: Differentiate. In x y= 11 y3D dx

A:

Q: find dy du

A:

Q: Calculate y" for the function y = 5x' – 7x² +16

A:

Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: 2. Find x Inx dx

A: 2) The given integral is ∫x lnxdx

Q: 3. Why can you not use the power rule to differentiate y = e*?

A:

Q: 1 = S V1- xV3+ x dx %3D

A: Use integration by part

Q: square of bine umi al

A: We have to find the value of the expression: x12-y132

Q: Evaluate J dx √x(1+√x)

A: ∫1udu = lnu +C

Q: 3. x² - x dx =? %3D [x-1]

A:

Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: y = (In x)*

A:

Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: y' = e2x + y – 1

A: Using method of linear differential equation.

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

Q: IScmプa (4x)"dx

A:

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

A: SOLUTION-

Q: y=coth 1/x

A: