(y In y e") dx + +x In y dy = 0

Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

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Q: (D" - 8D²-9) y = 50 sinher

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Q: Given 3x²-5y³ = 4x² + y² - 7 find dy dx and d² dx² y at the point

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Q: 3. (y-x)dx = xy (x dx + y dy)

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Q: Vỹ + }xy¬2/3 dy dx

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Q: The equation (x*y^2 + x – 2y + 3)dx + (y*x^2)dy = 2(x + y)dy is not exact. a. True b. False

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Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

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Q: + 9y = sec 3x

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Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: x dy (1 + 5x²y*) = 29 dx

A: P

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: dy -x-ly=²sin2x dx || 2 . 2号=2でッる xp

A: First order differential equation of the type, dydx+Pxy=Qx can be solved as follow: 1. Find…

Q: 64 f(x, y) dy dx F(x, y) dx dy 64 - y

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Q: 8. (x² + 2xy − 4y²) dx — (x² − 8xy — 4y²) dy = 0. - -

A: #8

Q: e^x + y)dx +(2 + X + ye^y)dy= 0 ,y(0)=1

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Q: If yx^2 + y^2 = x, then the dy/dx is

A: Using derivatives formula.

Q: Find dy dx I-Ln(x+3)=tかが(x:)

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Q: X- dx dy + (x – 7)y = 8x'

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Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: Find dy dx Y = x - 7 X

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Q: the

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Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

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.