(x%ex - 2) Cln /x+il) edy xy =0 y CO) = -4 y'Co) =5 %3D

Q: y(ln x – In y) dx = (x ln x – x In y – y) dy %3D - -

A: This is the question of differential equations.

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: Show that given differential equation dy y cos x + sin y + 9 – 0 is Exact and dx sin x + x cos y + x…

A:

Q: dx 3/2 ca

A:

Q: (1) Find the general solution for -) dx - -) dy = %3D

A:

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: arctan x Xe fel Xaresecx d

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (2y-1 + cos 3z) 분. 4x3 + 3y sin 3x = 0 (1)

A: We know that if - M(dy/dx)+N=0 Then M(dy/dx)= -N Therefore- dy/dx= -(N/M)

Q: ind dy/dx of y= tan^-1 (ln x^2

A:

Q: 15. cos y sin 2x dx + (cos2 y cos²x) dy = 0. cos² x(1 + sin y) = cos y(y + c - cos v). ANS.

A:

Q: What is the order of the lowest order homogeneous differential equation which has a particular…

A:

Q: 5- = cos nx dx= [cos nx cos nx dx 0.

A: We have to solve given problem:

Q: Solve Bernoulli differential equation of y' + xy= ry². %3D

A:

Q: solve for exact Differential Equation (ex + ln y + y/x)dx + (x/y +ln x + sin y)dy = 0

A:

Q: Find the particular solution to the differential equation: dy dx 3x2 cos? y. Solution passes through…

A:

Q: (ylny-exy)dx + ( + xlny) dy = 0

A:

Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: This differential equation can be solved by? dy dx What is the integrating factor of: y2 dx + xy dy…

A:

Q: 1. cos(xy) + secy = 5 2. Arcsin(x/y) = 4x + 3y 3. 4ln(Arctan x) = 1- y 4. y = 5/(sin3x +cos3x) 5.…

A: we have to derivative two times

Q: If y = eex the y' - y" + exy' is equal to?

A: The given equation is y=eex

Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O…

A:

Q: 1- S7 cos(y)eSin(y)+9X dydx

A:

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

A:

Q: -) Solve the following partial differential equation us ing direct integration: a²u = cos (x +y) дх…

A: Topic:- application of integration

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Non Exact Eguation (xy + 1) dx tx (* + 4y - 2) dy - 0

A:

Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

A:

Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

A: Since you have asked multiple questions,we will solve the first question for you . If you want any…

Q: A/ Integrate TWO only 2x dx 1) S- 2) S 4e cos4x dx 3) x In(x + x)dx x +x+1 B/ Ali is filling a cone…

A: As per the guidelines we can solve 2 problems

Q: 2- Find of y = dy dx y %3D /cos-1(In (xy))

A:

Q: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…

A: To determine ddx∫0x3 x cos t dt.

Q: This is an example of an Undamped Forced Oscillation where the phenomenon of Pure Resonance Occurs.…

A:

Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist

A:

Q: Suppose that x = 0 is a regular singular point of the differential equation x²y" – x(x + 3)y' + (x +…

A:

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: Solve the partial differential differential by separation of variables 3 + 7 0. %3D

A:

Q: Solve the differential equation ydx + (y-x) dy =0 by forming integrable combinations.

A:

Q: Vsin x.cos x 1+ 2.ln x 3y (аns.: 4

A: Given                   y43= sinx cosx1+2.lnx

Q: dy 3-cos?x sin x dx + cos³ (x)y = 1

A: We have to find the solution for differential equation.     According to our guidelines we can solve…

Q: Change the order of in tegration 10 10 dy dx

A:

Q: Given the non-exact differential equation (ysin(x) + cos(x) )dx + (x+y)sin(x)dy = 0. Find the…

A:

Q: The Bernoulli's equation dy +ytanx = y'sec x after multiplying dx -2y and use appropriate…

A:

Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: Given differential equation:(tanx)dy-(4ylny-ytan3x)sec2xdx=0To find: General solution of the…

Q: Find the particular solution of the differential equation (1-cos(2t))dy/dt=xsin(2t) given that…

A: The given differential equation is 1-cos2t dxdt=x sin2t     with xπ2=2. Solve as follows. 1-cos2t…

Q: 1) (2cos³xsin x – ysin x – 1)dx – cos x dy = 0 ; when y ) = 3v2

A:

Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: The solution of the differential equation using dy = 5/1- y? dx variable separable is cOs 5х + с O…

A: Solve by variable separable

Q: (In x) dx Integrate: 1

A:

Q: Live of y = e(x+ln x) cive of ƒ(x) = 5x6 – sec jye of y = e(sin x) e(sin x) - sin(e

A: We have to find the derivative of the given function

Q: 3) [ - cos dydx X X In 8 In y 4) S S e**y dxdy

A: (3) we have to evaluate ∫π2π∫0x21xcosyxdydx let  u =yx ⇒dudy=ddyyx         =1xddyy=1x⇒du = 1xdy…

Q: Is the differential equation y sin 4x dx + x cos 9y dy = 0 exact? %3D Choose the most appropriate…

A: A Diffrentaial equation in the form :-  M( x, y)dx + N(x, y) dy = 0 is an exact  if,   ∂M/∂y =…