-dy (49 – y2 )

Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: y dy J 725 – 16y 2.

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: xbe inner froduct x+y Lx_y ?

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Q: b) - 2y dy

A: Integrate the following.      ∫y4-2y-4y-2dy

Q: Find dy dx 2 for x²exy = 5 WA/

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Q: 1-x² 2. , S. et²+y? dydx = (е-1) 4

A: We have to show that:  ∫01∫01-x2 ex2+y2 dy dx=π4(e-1)

Q: a) |(w - 1)(2y + 1) dy

A: a) ∫02(y-1)(2y+1)dy=∫02(2y2-y-1)dy=2∫02y2dy-∫02ydy-∫021dy=2y2+12+102-y1+11+102-y02…

Q: 4.Jy2-プdy

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Q: 8. Jydx + (1+ x)dy = 0,,when x = 1, y = 4

A: Differentiable equation can be solved separating the variables on each side and then integrating…

Q: dz Find - if z = (9x + 5y)°. dy

A: we can find the derivative as below

Q: 2x y3= Ked dy

A: First take the log both sides and simplify than differentiate with chain rule.

Q: (5+2y)* dy

A: (6) Given- ∫-2-35+2y4dy To find- The value of the above integral. Identity Used- Using the power…

Q: Find y': y = arctan(e2x) 2e2x y 1– e4x? 2e2x y = 1 – e4x %3D 2e2x y 1 + e4x %3D 2e2x y 1 + e4x2

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Q: y'(t) = In(y- 3) %3D

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Q: Differentiate the function.

A: Consider the following equation: Gy=ln2y+15y2+1 Differentiate the above equation with respect to y:…

Q: find dy y = etan-1 √x2+1

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Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

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Q: n/3 SS ycos(xy)dydx= - π/ 3

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Q: Find dy. y = x| 13 dy = (Simplify your ans × |5

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Q: dy %3D 2.

A: Rewrite given differential equation. It is similar to Bernoulli differential equation with…

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: dy 34. = ty² +3t²y with y(-1) = 2 %3D dt

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Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: N= 8%° + 3s $1

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Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: 7. y Vzy dz + dy = 0

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Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: Pdx + dy = 0, y(-1) = 2. (y 2) dy = 0, y(-1) = 2. ry2

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Q: Find formulas for dy and Ay if y = 7x – 7. %3D - dy = Ay =

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Q: Find dy/dr. y = esin 2x

A: We will use chain rule of differentiation to find the derivative.

Q: Find dydt at x=3 if y=4x^2−4 and dxdt=3

A: Given  Differentiating with respect to x, we get

Q: Find xy dydr. 4

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Q: 2. dy 5y=Dy

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Q: Find formulas for dy and Ay if y = 8x – 4. | dy Ay =

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Q: 16. (2+) y dy

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Q: 8tan4x dx. Q. S 3 None 8log|sec4x| + c 3 2log|sec4x| + c 3 2log|sec4x| + c 4

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Q: 1 y2e- dy 7 صواب ihi

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Q: | 3yVT – 3y² dy

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Q: rtan r d Vt3 +4 dt dx 1/a

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Q: 523 + 222 – 5 y = dy then dz 3x + 2

A: Consider the provided equation, y=5x3+2x2-53x2+2 Find the derivative of the equation with respect to…

Q: y=3e2x+3e3x prove that d2y/dx2+5dy/dx+6y=0

A: Given:

Q: 8e" Let g(y) Y + 8 dg Determine dy

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Q: Find formulas for dy and Ay if y = x² – 7x + 3.

A: To give the formula dy = f'(x) dx and    ∆y = f(x+∆x) -f(x)