dy The integrating factor of Linear differential equations + y x 2 tan a = secr is dæ O In sin 2r O tan 2x O sec? a O In cos 2x

Q: Find dy. y = tan H 4 X + cos(4x)

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Q: dx dy y²+x² 3x²y+y³+2xy

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Q: dy dt y = sin (tan (9t – 1)) Find dy dt

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Q: (b) If z= 3x² + y² 4xy Hence, Show that find ôz dz dx dy Ox 3 3x a²z y a²z y ổr x ô and =0 8² z 2…

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Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

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Q: S V sin(y) × cos*(y)dx × cos° 3 х COS

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Q: dy of the function dæ Find the derivative x* In 3y = y sin 3x + et.

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Q: dy The standard form of the differential equation cosx =1-y sinx is dx Select one: O a. +y sinx =…

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Q: sin(y)dx + cos(y)dy = 0 by exact

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Q: Rraph the functions O y= x*+ 2x 3 ©y = x- sinx X-1

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Q: Find dy if y=X+Sin xy Find dy if 2x. 3y= 8 2- dx 2

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Q: find dy/dx

A: y=∫sec x21t2+1dt.

Q: y = tan (5t - 21 +1)

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Q: 1: Find dy if y³-4y² = x³ + 3x². dx 2: Find DPP 7 DERIVATIVE dy dx if sin y² - cos x² = cos y² + sin…

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Q: A. J x² sin x dx B. f(x²+1) Inx dx C. fex cos x dx

A: For the integral ∫ x² sin(x) dx, we can use the method of integration by parts. The formula for…

Q: S(1- cos )´sin ź dt, u = 1 – cos 4. U = V5x+8' dx ,u 5x + 8

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Q: bn = s(t) sin(nw,t)dt %3D

A: Given :-  bn = ∫-T02T02 st sin nw0t dt

Q: Y : = x COS -1 x – V1 - x2

A: Given function :

Q: Give the function z f(x, y)=4x²+ 3y, x(t)=sin tand y (t)= cos t. zp =2sin t.cos t 2.1 Show that dt…

A: The derivative of the function can be calculated by differentiating the function with respect to the…

Q: sint dt de + 0 cos t – tan t

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Q: 8. Integrate, cos(x) – 1 s X dx

A: Now solving:This is a special integral (Cosine integral):=Ci(x)Now solving:This is a standard…

Q: dy Find r by implicit differentiation given thattan(1 lx +y)= 11x. Use the original equation to…

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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.