xy2 y' = ey + sin y dy = dx x+y y' = x2

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

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: 5. Find of the parameters: x = sin 2t and y = - cost at t = dx %3D

A: Topic = Derivative

Q: (10) Find x²e*y dx dy. (Hint: Reverse order of integration.)

A:

Q: 4. |1- sin2y dy 6. y +2)/y- 1) dy (y + 2)/y

A:

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

A:

Q: 2 xy dy – (r' + 2y³) dx = 0 xsin 2 dy y sin- -x | dx

A: Homogenous differential equation: Let us consider differential equation of the form…

Q: 5. sinx+ cosh2y = 0. dy 6. /2xy -= 0. dy y

A:

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

A:

Q: 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

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: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

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

A:

Q: 2. sin3x dx + 2y cos 3x dy = 0

A: Given equation - sin(3x)dx+2ycos33xdy = 02ycos33xdy =-sin3xdxydy =-sin3x2cos33xdx             Taking…

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

A:

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

A: The solution is given in the next step.

Q: Find dy/dx by implicit differentiation. (1/x^3) + (1/y^3) = 4 dy/dx =

A: Given function (1/x^3) + (1/y^3) = 4  We need to find dy/dx using  implicit differentiation

Q: y (y^3-x) dx + x(y^3+x) dy=0_At· muon

A:

Q: find the dy/dx by implicit differentiation. 4. 5x-x^2y^3=2y 5. y^2+2xy^2-3x+1=0 6. xy+2y=x^2

A:

Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

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

A:

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1…

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: Find dy/dx by implicit differentiation. eX/y = 3x – y y' =

A: Differentiate wrt x

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

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: 1. dy dx \y+1 x2+1/ 2. " S"(sinx + cos2y) dx dy 3. S V(2x + y)" dx dy 1 3

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

Q: (dy/dx)tan x sin 2y = sin^2(x) + cos^2(y) differential equation

A: Solution is here

Q: 5 dy of: y = |x sin 2 + tan (x") dx 4

A: Given function is y=xsin2x+tan4x75 We have to find dydx. Here, we have to use some rule of…

Q: Find dy/dx by implicit differentiation. 19) x3 + y3 = 5 20) 2xy-y2=1

A:

Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

Q: Find dy/dt at x = 1 and y = x^2 + 3 if dx/dt =

A:

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: Find dy. y=tan-1(ex^10)   dy=(______) dx

A:

Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

A:

Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

A:

Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

A:

Q: 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy

A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

Q: Find (dy/dx) by implicit differentiation. x^2 y^3 - 4xy^2 = 3 (dy/dx) =

A:

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: Find dy/dx.   e4x=sin(x+3y) dy/dx=

A:

Q: dy ху* - сosx sin x . У (0) -2 y(1–x²) dx

A:

Q: 1. dy = 2 – y²dx 2. x(1+x* )dy =(y +y x²-x* )dx 3. ( y² – 1) dx + (2xy – siny)dy=0 V2x-x2

A:

Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

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

A:

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

A:

Q: {dy}/{dx} for y=4sin^{-1}(x^2)

A: The explanation of answer as follows

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.