Calculate S (xyz) dz dy dx. (x=1 cy=1-x cz=2-x x=0 Jy=0 Jz=0

Q: If x³ + 4x³y? = x – y³, find dy/dx. 3,2 | dy %D dx

A: Here we have to find the implicit differentiation.

Q: Find dy/dx. y=x0.75

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Q: Solve the dy/dx=y/x +cosec(y/x)

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Q: dy when x = - 1 and dt Given y = 6x +7x, find dx %3D = 5. dt %3D

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Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

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Q: Find dy dx xy + y² = 5 dy-0

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Q: dy dx Find when x = Vt and yt² +2+³ =

A: To find the derivative with given parametric equations

Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

A:

Q: Find dy if y=t² & t = √h and h = x² dx

A: Given :y=t2t=hh=x2

Q: find dy /dx for Hhe followiny (इस्ट '5र) +4 (In 2X) te

A: Given : y = 3ln2x+ecscx2+4sec-15x

Q: dy Find if y = n4. dx dy dx

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Q: x2+1 y(1) = -1 dx x²

A:

Q: 2. dx y²-y-dy=0

A: To solve the following differential equation. x+1x2+2x-7dx-y-2y2-4y-5dy=0

Q: Find dy/dx. x2 - 4y2 = 3x3y4

A: From the given data:

Q: dy x3/2 dx

A: Given: dydx=x32

Q: Find dx 1 1 if y = 5x-3

A: Formula: d/dx 1/(ax+b) = -a/(ax+b)2

Q: (2x y) dx = -x dy

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Q: dy 1 dx sec?y

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Q: Find dy dx dy dx 11 x = √t, y = 4 - t

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Q: /3x y dy dx 12.

A: Let I=∫02∫x3xydydx Solve above integral.

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.