y' = (3x² – e*)/(2y – 5), y(0) = 1

Q: dy/dx if y=tan((1-2x)/(1+x)) dy/dx if y=x^4 ln(3x-1)

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: dx dy dz y +z X + y X +2

A:

Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

A:

Q: order linear differential eq 22. y'+ 4y = x

A:

Q: first derivative y= 4in Gty) is dy 4.

A:

Q: How do you test for the exactness of differential form?

A: given,      to test for the exactness of differential form

Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: Find the differential dy of y=√x. Show complete solution

A:

Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: x sec2x dx (integration by Parts)

A: In this question, we need to find the integral of given function using integration by parts.

Q: An integrating factor for the differential dy + my = e-m² is dx equation

A: Given differential equation is dydx + my = e-mx

Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

A:

Q: From the partial differential equation by elimanating the arbiraty function z=f(x2+y2+z2)

A: We have to form the partial differential equation.

Q: Find the 4th order differential of the function y=√2x+1.

A:

Q: Let y=(x2+3) to the 2nd power. Find the differential dy when x=4 and dx=0.2 ?????????? Find the…

A:

Q: Integrate SxIn x)dy

A:

Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

Q: Sinh) esechct) dy

A:

Q: 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3

A:

Q: What is the differential equation of the orthogonal trajectories of the family of curves y = Cx ?

A:

Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family…

Q: Form the partial differential equation by eliminating the arbitary function from z = xy + f(x² +y°)

A:

Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

A:

Q: Is the differential equation x" + e^x - 1 = 0 conservative or non-conservative? Explain why? If it…

A: Given x''+ex-1=0

Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: y In(x) ln(y)dx + dy

A:

Q: - ((x3 + x)sech(In x)) = dx EX)-

A: To find  ddx(x3+x)(sech(ln x) We use product rule  d(uv)=udv+vdu Let  u=x3+x,     v=sech(ln…

Q: Compute the differential dy  for  y=(6x+sinx)^3

A:

Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: Solve for the differential of y when y= sinzx. x= -, and dx 3 2 4

A: we have to solve the problem

Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx

A:

Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

A:

Q: 4. sinh(z²) dz dy dx

A: We need to solve the triple integration by re arranging the order.

Q: Form the partial differential equation by eliminating the arbitary function from z=xy+f(x2+y2)

A:

Q: Find dy/dx of x siny + y = 4x + 3

A:

Q: Obtain the differential equation of all circles with center on line y = -x and passing through the…

A:

Q: Find the partial differential equation by eliminating the arbitary constant from 2z=/x+a+/y+b_

A:

Q: Find dy/dx by implicit differentiation. 5y sin(x2) = 9x sin(y2)

A: Given :  5y sin (x2) = 9x sin (y2)

Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

A:

Q: Find the differential equation of family of parabolas with axis parallel to the x-axis and with…

A: The general equation of family of parabolas with axis parallel to the x-axis, with a vertex at a…

Q: Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?

A: Derivative of any function determines the rate of change of a function. It is represented as dydx if…

Q: Find explict solution of the foilowing initial-value problem dy yoanx?, yla)of %3D dx

A:

Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

A:

Q: Obtain the differential equation of the family of parabolas with axis parallel to the x axis and…

A:

Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

A: