Exam /Math dy QI/ Find dx 1. if y = u and u = 4x2 – 2x + 5. 2. y = (x² + 4)²(2x³ – 1)3 -

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx

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Q: 2) dx Ve -1 a) 2 vezr - 1 In (e – 1), c) arctan (e), d) sec-le

A: We need to solve the integral

Q: integral. et dx e2x + 3

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Q: Related Rates: Find dy when x = dt -2, given y = x2 - x and “* =0.01 dt

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Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. dx 4x² - x³ dt 3 The…

A: We need to find the equilibrium at x=0 is stable, unstable, or semi stable. given,…

Q: 0.1 0.2 dz dy dx 3-3 X-る りー-oハ そ--0,2

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Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

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Q: 67. = 2x − 7, y(2) = 0 dy dx dy 68. = 10 - x, y(0) = -1 dx 1 69. dx + x, x > 0; y(2) = 1

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

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Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

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Q: 1/2 (1 - 2x) dx + (1 J1/2 - 2x) de = 22.5 2x dx=

A: To evaluate the following integral.∫-42 1-2x dx=∫-4121-2x dx+∫122 1-2x dx=?

Q: Finding a General Solution Using Separation of Variables. dy/dx= (x-1)/y3

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Q: iation to find : dx e = y + In %3D x2+1 dx (x3+3x+2)2

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2/3 dy = Need Help? Read It…

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Q: Function dy du dy du dx dx = (5x³ – 7x² + 2x – 3)*) _y = csc(x² – 3) y = 5x² – . y = V5x2 – 4 _y =…

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Q: QI Find dy for dx dt

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Q: dz/dx&dz/dx at the point (1,1,1) Find the value of if the equationxy + z³x - 2yz = 0.

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Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: sin³ y dy 2. S 1- siny

A: Solution Given   ∫sin3y1-sinydywe need to find the integral

Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: QI/ Find dx 少 for Iny=ex).csch"()

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Q: 6. J 4 x4-1 -dx

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Q: dy by implicit differentiation. Find dx 4x3 + x?y – xy3 = dy dx

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Q: improper iterat 1/x3 y dy dx

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Q: Can you help me step by step?

A: The given function is y = (7x5 / 5) -(2x) +(9ex).

Q: 3 7x + 6x - 5x dy find dx - Example 28. If y = 4

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Q: (b) YOUR TURN 4 Find dx. Vx f(x) deriv for in

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Q: b) y = [ dx Integrate. 13 +5

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Q: 5.Differentiate.   y=3/2−4x

A: We will differentiate using chain rule of differentiation.

Q: Vi-ř dy dx dz 1/2 1-x

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Q: Sinhx cosy dx = coshx siny dy

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Q: dy cosh x dx + y sinh x = 2 cosh x sinh x

A: We will find out the required general solution.

Q: ODE (3x-2y+1) dx+ (3x-2y+3) dy=0

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Q: 1) x(2y-3)dx +(x'+1)dy-0 (x+1)(2y-3)=c ans:

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Q: Detevmine the com uergen e the isteguail -3% Xe dx

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Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

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Q: 9. use "Bernoulli's Equation" method (ye-+y)dx-e-dy 0

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Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

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Q: (sinx+1) (cosx+1) dy evaluate dx -If: y =

A: Use the concept for derivative of the form  y = f(x)/g(x)

Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

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Q: Solue: O (x +2y)dx - x dy = as dy

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Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

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Q: Beta Function x dx 3/3 dy (h) 1+ 142/2 that (a)

A: In the given question, the concept of the Beta function is applied. Beta Function is expressed as-…

Q: (2xsinycosy - x+2x²evx´ )dy =(y-sin?y -4xyex )dx

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Q: related rates - find dx/dt where x2 +xy - y2 = 20. dy/dt = 5 and x = 4

A: x2 +xy - y2 = 20Diferentiate both sides with resepct to t. While differentiating recall the:Chain…

Q: Determine dy/dx for the equation 5x3+7xy- 3y5 = 9 .

A: To find the derivative (d y / d x).

Q: Related Rates Please show all the steps. Find dy/dt at x=1 if y=−5x^2−4 and dx/dt=3

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Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.