O': Find the general yy' – 2y² = e²

Q: Find the partial derivative. z = sin(9x°y – 10xy²)

A: Given: z=sin9x3y-10xy2

Q: (1) x² + 3xy+y? = 4 (2) -=y² +1 x-y

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Q: order linear differential eq 22. y'+ 4y = x

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Q: first derivative y= 4in Gty) is dy 4.

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Q: a2u Q15// Solve the partial differential equation дудх = tan-lx sin³y ди = y when x = 0 and u = 1…

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Q: find the differentials of the first and second orders u=xyz

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: Find dy/dx by implicit differentiation   4Cos x Siny  =1

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Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: If z = +3y, find the differential dz. dz =

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Q: dx/dt of -ln(-cos t)-e^(sin t)

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Q: Let y=(x2+3) to the 2nd power. Find the differential dy when x=4 and dx=0.2 ?????????? Find the…

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Q: Vz²+1 ev° dy In a

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Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: Sinh) esechct) dy

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Q: Find total differential of function u = x.

A: 6. The given function is u=xyz. We know that the total differential of a function u=fx,y,z is given…

Q: D. Solve the differential equation using Loaplace transform of y" + y = 6sin 2t ; when y(0) = 3 and…

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Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

Q: tanx dx = -In/secx|+C^O .BO In|secx|+CO In/cscx| +CO -In|cscx|+C°O .D

A: We need to evaluate the following integral I = ∫tanxdx

Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3

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Q: Find dy/dx of y=sin-(1/,). 9x-

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Q: Find dy/dx by implicit differentiation 7ysin(x2)=9xsin(y2)

A: Find dy/dx for the implicit function

Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

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Q: gin (t) et dt

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Q: Find dy/dx for x⁴+siny=x³y²

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Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

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Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

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Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: The function y(x) is defined by the implicit equation x2−√ylny=1. Find its differential at the point…

A: Differentiate both sides with respect to x and solve for dy/dx

Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: The given equation is 3xey+yex=4

Q: Compute the differential dz of the function. 3,,10 x°Y %3| dz

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Q: Find the partial derivative. z = sin (6

A: We have to find

Q: Find dy/dx by implicit differentiation. 19) x3 + y3 = 5 20) 2xy-y2=1

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Q: tan(4x + 8). Find the differential dy when x = Let y 1 and dæx 0.3 Find the differential dy when x =…

A: In the given question we have to find dy of the function at both of the given value.

Q: Find dy/dx by implicit differentiation. 4x° + 9y3 - 62 dy/dx =

A: We use Implicit differentiation

Q: y= sinh-lx then prove that Vx2+1 dx

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Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

Q: Match the differential equation with its direction field. y' = 5(x + y) – 1 -0.6- --0.4 - -0.2 0.2…

A: Given that y'=5x+y-1 Let fx, y=5x+y-1 then y'=f(x, y) As, we can see in given problem f(x, y)…

Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

Q: Find y(1) for y" = - 4z - 4y, X, = 0, yo = 0, z, = 1, with step length 0.1 using Euler method (2nd…

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Q: Find dy/dx by implicit differentiation. бх3 + x2у - хуз %3D9 y' = %3D

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Q: -Find for: y= sinV1-t dx

A: We have to find dydx for y=sin-11-x4.

Q: Let y = 5(square root x) Find the change in y. Delta-y when x = 5 and delta-x = 0.1 Find the…

A: The given function is y=5x. We need to find ∆y when x=5 and ∆x=0.1. Also, to find dy when x=5 and…

Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)"(») where U(x)and V(x) are…

A: The function is, y=U(x)V(x)

Q: 1 dy if y = dx -1 Find - tan 3x. dy dax

A: Use derivative formula

Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

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