sinx siny dx + Cosx cosy dy = 0

Q: (cos x cos y cotx) dx - sin x sin y dy = 0. -

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Q: siny dy 2. 3 |- cosy

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Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: sec?x Integral tanx

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Q: Integrate (sinx + cos^2x)^3 dx

A: To evaluate: ∫sinx + cos2x3dx Let I = ∫sinx + cos2x3dx ⇒I =…

Q: Evaluate

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Q: sinx dx = Show that 0 sinx COSX 2/2

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Q: integral of sin^5(3x)cos^3(3x)dx

A: The integral of ∫sin5(3x) cos3(3x) dx is sin5(3x) cos3(3x). If we need to find the integration then…

Q: siny+ tan y = siny %3D 12. 1+ secy

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Q: Integral of Sin^2(2t)cos^2(2t)dt

A: Given: ∫sin22tcos22tdt

Q: Integration of (Sin(x) + Cos(x))e^x is_

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Q: 2xycosx^2 -2xy+1}dx+{sinx^2 -x^2 +3}dy=0

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Q: et secydx + sinydy = 0

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Q: Integral from 0 to 2pi of sin(2x) dx

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Q: d arctan (tanh x) dx Show that sech 2.x.

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Q: sin 2x V2 – cos 2x dx

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Q: Ex: Siny dydx

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Q: (sinex- 2ycos x) dx = 2dy

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Q: | sin“ x cos' x dx 4. Integrate:

A: Given: ∫sin14x cos5x dx  To find: Value of the integral.

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: -siny(x + siny)dx + 2x²cosydy = 0 %3D

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Q: cos(x + y) cosx siny = coty – tanx

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Q: | sin 2x cos7x dx

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Q: Integrate: S sin³x cos³x dx

A: ∫tndt=tn+1n+1

Q: (ups" = (In tanx) (x*) ( Sinx) (Ny)" sec"('s %3D 2. %3D

A: Here we apply logarithmic differentiation for both Questions

Q: cos x sin x dx 4. sin 2x cos 2x dx

A: In some cases indefinite integrals can be converted to standard integrals using an appropriate…

Q: (cos x cos y cotx) dx - sin x sin y dy = 0 -

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Q: siny dle = (1-x cosy) Cas y

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Q: 2. f(-7sinx + 3cosx)dx (-7sin 3. √(3x − 2 + sin x) dx TE 4. (3 sec² x + 4 csc² x) dx

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Q: S tanx 1+ COS X JX

A: Given problem:-  ∫tan(x)dx/(1+cos4(x))

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

A: Solution is here

Q: (sinx+1) y = (cosx+1)' dy evaluate dx

A: We have to find the derivative

Q: 3. sin 8x cos 8x dx s 2x sin 2x dx cos

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Q: (sin°x dx

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Q: S sin(1 – 2x)sin(2x + 3)dx

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Q: Differentiate y= arctan sinh x. coshx A. 1-sinh x cosh x B. cosh x C. ainh-x D. 1+sinh-x

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Q: Sinho sechcH) dt

A: To find the integration (sinhx×esechx)/cosh²(x) dx

Q: sin y cos(cos y)dy

A: We have to evaluate the integral: ∫sin y coscos ydy In this case we will use substitution method. So…

Q: 1. Find y" when sinx + siny = 1.

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: integrate 1/(sin^2(3x) dx

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Q: Integrate: Jez sin(3x) dx

A: Solve the integration by substitution method

Q: Arc lenght of Curue y=ln(sinx) at intervol I sxS Ę

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: y = sin(2x) sin(x) + cos ( 2x) cos (x) COS %3D

A: Using the formula of cos(A-B)=cosAcosB+sinAsinB. Explanation is given below..

Q: (sinx+1) (cosx+1) dy evaluate dx -If: y =

A: Use the concept for derivative of the form  y = f(x)/g(x)

Q: (sin x + cos x)dy + (cos x – sinx)dx = 0

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Q: (7 – siny)y' = 3x2 + 2x

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Q: sin 2x dx 4. J2osin cosmetin2xdx

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Q: sin³ydy 1+cosy

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Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form

Q: dz 5 – 2x cos 2x dx 1 + sin 2x sec² 0 de. tan 0

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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.