17. dy + xly + cosec (xy) = 0. dx

Q: 3. (4x³y5 sin 3x + 3x*y$ cos 3x) dx + 5x*y* sin 3x dy = 0 y(0) = 1

A:

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: 3. cos y sin 2x dx + (cos² y – cos² x)dy = 0

A:

Q: 9 dx dy +ytanhx= 2 sinh x dy - 2y = x' cos x 10 x dx

A:

Q: х2+1 dy 4) хеУ dy- *dx 5) х?у 3 (1 + х)Csc y y dx 6) хеУ dy + (*+1) dx =0 y

A:

Q: . (4x³y5 sin 3x + 3x*y5 cos 3x) dx + 5x*y* sin 3x dy = 0 y(0) = 1

A: See the solution.

Q: 5y + sin y = x²

A:

Q: find dy / dx if y2 - x2 - sin xy = 0.

A:

Q: 3y dx 2 (2y In +3 sin y]dy =- + 3 Sin Y X+ 3

A:

Q: 2. Z dx dy dz to

A: (5) Given integral is ∫02∫04−z2∫02−zzdxdydz.…

Q: Inx Iny mz dx dy dz

A: Given integration is  I=∫1e∫1e∫1elnxlnylnz dx dy dz=∫1e∫1e∫1elnx dxlnylnz dy dz…

Q: 1. xyz dx dy dz

A: There is triple integration. First we integrate with respect to x, then w.r.t y and then w.r.t z.

Q: ind dy/dx if y=8x-3/24x^5

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Q: 2. (1+Inx)dx +(1+Iny)dy = 0 when y( - 2) = - 1.

A:

Q: Find dy/dx if y= ln(6x2 + 5y2). dy/dx=?

A: dy/dx = 12x / (6x2 +5y2- 10y)

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: 2 (b) - 2y dx +(2y tan'(x )-2x +sinh (y))dy = 0

A:

Q: Find dy if y = tanh-1(5x²) csch¬'(In x). dx

A: Given: y=tanh-1(5x2)csch-1(lnx)To find:dydx=

Q: 1) ſ y³ sin(2y) dy

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining questions…

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: dy +cosh 2y=0 dx 3. sin x ans: sinh 2y-2cosx3Dc

A:

Q: x + y sin 2 ) dx x sin 2 dy = 0 -

A: The solution is given in the next step.

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x day 6. dx if y = 1-cos4x 1+cos4x dx² dy 7. a if y = In…

A: (7) Let y=lnsinh 5θ and x=cosh(4θ)

Q: 8/ (e* sin y +3y)dx -(3x-e* sin y)dy = 0

A: Given thta  The differential equation

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

A:

Q: 1 (* ex+y dy dx

A: We need to evaluate the following integral ∫01∫0xex+ydy dx

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: Cln S iny 7. ex+y dx dy 0.

A: I=∫1ln8∫0lnyex+ydxdy⇒I        =∫1ln8ey∫0lnyexdxdy               =∫1ln8eyex0lnydy…

Q: 4- cosh x2 dy + (sinh x)y = e-* dx

A:

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: 4- Find dy/dx for y = 3[(sin-"(e-3x*)²

A: f(x) = 3arcsin2e-3x2f'(x) =ddx 3arcsin2e-3x2=ln(3)·…

Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

A:

Q: Inx Iny Inz dx dy dz

A:

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

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Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

Q: dx 25. Integrate: S Ve-2x –1 А. Sec-1e* + С В. Sec-1е-* + С С. — Sec-1e* + С | D. —Sec-1e-* + с

A:

Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: 3/ Find Value of integral ) dx 0 X+1

A: I am attaching image so that you understand each and every step.

Q: 1. Non-Exact DE (4x² – 4xy + 3y² + 2x – 3y)dx +x(2x – 2y + 1)dy = 0 -

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

Q: If x = t- sin t and y = 1- cost dy find the dx

A: Given, x=t-sinty=1-cost       Find: dydx

Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: (у-sinx) dy + dx = 0.

A: dy+(y-sinx)xdx=0⇒(y-sinx)xdx=-dy⇒(y-sinx)dx =-xdy⇒ydx-sinx dx =-xdy⇒ydx +xdy = sinx dx⇒d(x·y) = sinx…

Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

A:

Q: ex dy dx dz = e** dz dy dx 0.

A:

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

A:

Q: 7 Find (b) x siny-ycosx-y = 1. dx

A:

Q: dy sin: 8. x +2y = dx y(2) = 1

A: