(a) PSD of U (t) = X (t) + Y (t) (b) Sxy (@) and Sxy(@)

Q: Find the derivative using the theorems on derivatives. dx x2-2 1 y = 2.y = (x² – 1)³(x² + 3)² x3+4x…

A: Given functions to be differentiate are    1.   y=x2-2x3+4x    3.  y=x2-2x      we will make use…

Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

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Q: How do you test for the exactness of differential form?

A: given,      to test for the exactness of differential form

Q: Find the differential dy of y=√x. Show complete solution

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Q: dly dx2 - 2 dy dx -3y = COS X

A: The given differential equation is d2ydx2-2dydx-3y=cosx. We have to find the solution of the given…

Q: 3) y sin-ly² dy

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Q: Find dy/dx if y2=x2+sinxy

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Q: ential equati x²y dy = C

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Q: e) у- In 2 2xe dx 1 dx xcos(In x) /2 g) y= V1+cos4xdx

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Q: 2- X. Sin (5X) dx: Cos (SX) X Sin (SX), Cos (SX) XSin (SX) XSin (SX) Cos (SX) 25 25 25

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Q: Find j Partial derivative

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Calculate differential: f (x) = = e-* cos(3x) + 2 of the range [1,2] with h=0.05 a) Using the…

A: Equation is f(x)=e-xcos(3x)+2.Numerical differentiation method to find the solution.The value of the…

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: Find the differential dy of the given function. y sec² x x² + 2 dy sec²x(x²+2)tan x-x (x² + 2)² dx X

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Q: Find dy/dx if  y2= x2+sinxy

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Q: Sinh) esechct) dy

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Q: Evaluate: 1-11-24 = - dx 1 + x 0 By the trapezoidal rule with h = 0.5, 0.25 and 0.125 respectively.

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Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

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: (cos 2y - 3x²d²)dx + (cos 2y − 2x sin 2y − 2x³y) dy = 0

A: The differential equation is given as cos 2y - 3x2y2dx+cos 2y - 2xsin 2y-2x3ydy = 0 Compare it with…

Q: (cos 2y-3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given : Differential equation cos 2y - 3x2y2dx + cos 2y - 2x sin 2y - 2x3ydy = 0   To find :…

Q: 2 (b) - 2y dx +(2y tan'(x )-2x +sinh (y))dy = 0

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Q: Find general solution of ODE : y'+y=sinx+x

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

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Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

Q: Differential s of the form

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Q: Take first and second derivatives of y = xr, y=(ax2 + bx + c)2, y=ecx, y=e-cx, y=ln(x).  In all…

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Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: Find dy/dx at the given point 6x2-5y3=2x-5y at (0,1)

A: First differentiate the equation and then substitute the value of x as 0 and y as 1.

Q: dx1 2.x1 + x2 + x3 + sin(t) dt dx2 = -x2 – 2x3 – 2 cos(t) dt dx3 2.x2 + 3x3 dt

A: According to the given information, it is required to find the general solution.

Q: у %3D V1+ 2х (1 — х)-3

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Q: Vi-ř dy dx dz 1/2 1-x

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Q: Ssin^3 (2/3 x) cos^4 (2/3 x) dx

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Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

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

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Q: Find the differential dy of the given function. y sec² x x² +2 dy = sec²x(x²+2)tan x-x (x²+2)² dx x

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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: Calculate differential: f(x) = e-* cos(3x) + 2 of the range [1,2] with h=0.05 Using the backward…

A: Equation is  f(x)=e-xcos(3x)+2.Numerical differentiation method to find the solution.The value of…

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: (a) Show that the derivative solution of this function y = x** is x(x*+x-1) [1+x In x (In x + 1)] dx

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Q: sin(3z+z²) Find y' for y = (6 – 2*)3

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Q: What is the integrating factor of y' - 2xy x?

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Q: dy 1- Find by implicit differentiation. 2- x2 + y2 = 100. 3- x³ + y³ = 3xy². 4- x²y + 3xy³ – x = 3.…

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Q: tan-1 (xy)=3x2+sin-1(y) find dy/dt

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Q: Example2: Find the derivative of w=xy+z if x=cos t ,y=sin t &z=2t?

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

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Q: 2 1) (-2xy) dx + (Siny-x²) dy

A: see my solutions