Match pictures to differential equations. dy a. dr dy rp sin z dy dr dy sin(x) sin(y), b. cos(r) d. sin z sin y C. cos y sin(y)' dr dy cos(x) – sin(y) dr Figure 1: DF-1

Q: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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Q: 7y f(x, y) = tan a² f dx² dy? dzðy dydr

A: From the given problem:   fx,y=tan-17yx   (a) As we know: ∂2f∂x2=∂∂x∂f∂x So, ∂f∂x=∂∂…

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: 15. cos y sin 2x dx + (cos2 y cos²x) dy = 0. cos² x(1 + sin y) = cos y(y + c - cos v). ANS.

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Q: du Find Ifu = cos(x +y) where a'x +b'y =c² %3D

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Q: +y) A. tan (x + y) + sec (x + y) = x + c B. tan (x + y) - sec (x + y) = x + c C. tan (x + y) + sec…

A: We will solve the problem

Q: = 15 - 3e-2t cos 3.464t - 1.732 e-2tsin 3.464t v(e) %3D

A: Find your answer below

Q: - Find sec(y) tan7 (y) dy. S .

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

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Q: 2. x´sin(y)dxdy

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Q: dy Find xp x/3 y = cos () dt CoS

A: Given : y = ∫x3π3cost3dt

Q: dy Os:A- Find for the following functions: - dx 1- 1+secy xy2 = 1+ x* t2 2- If y = and t = V2x + 1…

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

Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: 3 sin(y) Let h(y) 2+ cos(y) COS d. Determine dy %3D

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Q: Solvex - y = x² sinx dx Select one: O a y= cx? − xỉcosx O b. y = cx+xcosx O c. y = cx-xcosx Od. y=…

A: Topic = Differential equation Correct Option  = c

Q: 2. The slope of a curve at any point (x, y) is given by dy da 4x, if the curve passes through (-1,…

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Q: cos y – sin y dy 1+ sin(2y)

A: Given: ∫cosy-siny1+sin(2y)dy

Q: 4. cos x + 1 + sin x dy dx = 0

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Q: A rod of length L coincides with the interval [0, L] on the x-axis. Set up the boundary-value…

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Q: dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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Q: cos y dy 2. sin y+3 sin y- 18

A: Solution: The objective is to find the value of the given integral

Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dy for the following: dx Find a. x³ + y³ = 8 f. 4x² - 9y² = 36 1 1 b. y sin y = xY = 1 g. +- - y c.…

A: a) x3+y3=8b) y sin y=xyc) tan-1(x+3y)=x4

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.