x³ y" + xy' - y = 0 [ Hint: x = e¹, ln x = t; x(dy/dx) = dy/dt; x²(d²y/dx²) x³(d³y/dx³) = (d²y/dt2) - dy/dt; = (d³y/dt³) - 3(d²y/dt²) + 2(dy/dt)]

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

A:

Q: 1. dy = e3x+2y dx

A: Given dydx = e3x+ 2y

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A: Given that: dydx=x2-y22xy and y(1)=0

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A: Given:

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Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: dy/dx (y=x^2(4x+1)^3)

A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product…

Q: d^4y/dx^4=dx/dy+y^4   Is it linear or non linear

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Q: Integrate: dx/(K+bx)=dy/-by

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

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

Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

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Q: Find dy dx X = 351 3 + b y = v 3 + t y V

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Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution…

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

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A: Revise this before doing the question:

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Q: solve x (dy/dx)=x^2y^3 - y, y(1)=1

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Q: X- dx dy + (x – 7)y = 8x'

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Q: Find dx/dt, dy/dt, dy/dx for  x=9t-9ln(t), y=6t^2-6t^-2

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Q: Compute for dy dx cot(2x + ex) y = sec(2x + ex) · y = e²² csc(2x) + 2x cot (2x²)

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Q: Use implicit differentiation to find dy/dx 4G - y = 2x = 2- 4y dx O dy. 2-dy dx

A: It is implicit derivative.