Find the general solution: y'- y |arctg2=1.

Q: A particle moves along the curve y = x^(3/2) in the first quadrant in such a way that its distance…

A: Let (x,y) is a point on y = x^(3/2)Distance of (x,y) from (0,0) is given by:

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: and dr= %3D Solve for the differential of y When y=sinxx x

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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: [2 ln (x)+1] dy in yty cosy %3D dx

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

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

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

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Q: 3) y sin-ly² dy

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Q: solve for dy/dx :  arcsin (x/y) + arccos(y/x) = 5

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Q: y" – y' = sint Solve the general solution of the differential equation by the method of change of…

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Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: Use integration to find a general solution of the differential equation                  dy / dx =…

A: The given equation is  dy / dx = tan2 x

Q: 16. ху : Vx2 + y?

A: Using implicit differentiation.

Q: The degree and order of the differential (出) 1 8 dy equation 1+ is 3 dy dx dx

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Q: 2- X %3D +2 3- Coshx dy +(y sinh x+e) dxo 36

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Q: sinh (:) dz dy dx

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

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

Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

Q: √2xy dy/dx =1, given y=1 when x=1

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Q: Find the particular solution for the given separable equation when y(0) = 3. 1 dy = ysin(2x) 1? dx

A: To find the particular solution for the given separable equation when y(0)=3

Q: y= sinh(2n)-글교 dy/dx gi

A: Derivative of sinx is cosx.

Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: A) Ln(y+1)dx+ 2у(х-1) dy = y?+1

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

Q: Solve ∫xn ln x dx in tegration by Parts?

A: Given:               ∫xn ln x dx Apply integration By Parts:              ∫xn ln x dx=ln x∫xn…

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

A: i am going to solve the given problem by using some simple calculus to get the required result.

Q: Find dy/dx by implicit differentiation. 2(x^2+y^2)^2 = 25(x^2-y^2)

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Q: valuate the definite integral: 1 (sec-1 x)² dx xVx² – 1 -

A: We  have to solve the improper integral

Q: find dy/dx by implicit differentiation ex+2y = 1

A: Given Function is ex+2y=1

Q: A particle moves along the curve y = x3/2in the first quadrant in such a way that its distance from…

A: Let w de the distance between origin and the particle at any time t. Given that, dwdt=11 Now by…

Q: dy/dx of y=sec^-1 (5x)

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

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Q: dx Q2. Integrate

A: Given,I=∫1x2+15dx Consider x=tanu and u=arctan(x) then, dx=sec2udu…

Q: +(g-1)dx -t +(2xy-Siny]dy=o

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Q: Find dy/dx by implicit differentiation. 9x2 + y2 = 4 dy/dx = %3D

A: Topic:- Differentiation

Q: Calculate the integration y+1 dydx

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Q: dy Integrate dx = 4e®xand find equation of curve that passes through the point (1,7).

A: Given that, dydx = 4e8x

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

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

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Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin…

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

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

A: Solution

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: how do i implicitly differentiate (solve for dy/dx) where: xy = tan(xy)?

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Q: Solve for the differential of y when y=sinx, x=–, and dx =-. 3

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Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy