for y = u dx dy 3/2 and u = 4x + 5 using the chain rule formula dy dy du Compute %3D dx du dx

Q: Find dy/dx in terms of t if x=te^t , y=6t+6e^t dy/dx=

A: Use Product rule of derivative and find the derivative of x with respect to "t".

Q: dy xe dx to

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Q: Find dy/dæ in terms of t if x =t – t°, y = 2+ 4t dy/dx =

A: The differentiation of parametric form of functions can be done by using the formula,

Q: Given f(x, y) differential df = 10x?y then the total O 20xy dx + 10x² dy 20x dx + x2 O 2xy dx + x²…

A: For the solution follow the next step.

Q: Given x = 2 In(t) and y= 4 t then find dy dx dy da?

A: Given, x = 2 ln t  &   y =  4t2

Q: Reduce the given DE into Bernoulli's equation: - 2x*y¬ dx 3 y-4 dy_ y5 2x4 y4 dy dx dx 3 3 dy 2x* у…

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Q: for y =u dx 3/2 and u = 10x +3 using the chain rule formula dy dy du du dx Compute dx du and dx…

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Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

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Q: Q1-Use the chain rule to express dy / dx in terms of xand y: 1-1 a) y = аnd x = at 1= 2 1+1 b) y=1-…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: (a) Find dy/dt, given x = 1 and dx/dt = 8. dy/dt = (b) Find dx/dt, given x = 36 and dy/dt = 3. dx/dt…

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Q: Find  dy/dt  using the given values. y = x3 − 2x for x = 4, dx/dt = 1. dy dt =

A: The objective is to find dy/dt.

Q: Solve (1+x ) = x²y, given that x=1 when y = 2 dx Find the particular solution for y in terms of x.…

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Q: 6) Find dy given e 3y = y2 + x. opr dx

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Q: Find dy/dx for xy − ey = 2.

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Q: Find dy/dx implicitly and find the largest interval of the form −a < y < a or 0 < y < a…

A: Given Data The function is cosy=x.   Differentiate the function cosy=x with respect to x,…

Q: Given dy dy +2- dx + 5y = e and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the %3D…

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +…

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Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: dy ey-x sec y (1 + x²) У (0) 3 0 dx ||

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Q: If y = In(2x+3) , then find dy at x = 0. dx

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Q: Given x = 2 cos t + 8 and y= 4 sint dx (i) dt dy (ii) dt dy (iii) dx ||

A: Givenx=2cost+8y=4sin2t

Q: d'y 10ay+25y = 0. dx? 1. Find the general solution for dx

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Q: Let y = tan(3r + 4). Find the differential dy when T = 4 and da 0.4 Find the differential dy when x…

A: Given: Differentiate the above expression of 'y' with respect to 'x'.

Q: Given x° + xy – 6x = 1 : dy by differentiating implicitly. Do not substitute for dx Га) Find Y. dy…

A: Topic :- Differential equation As per our guidelines , only one question will be answered at a time.

Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: dy Find the (explicit) solution for the IVP = x + e*, y(0) = 2. dx

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Q: Compute dy/dx for y=u 3/2 and u=4x+5 using the chain rule formula dy/dx=dy/du du/dx. The answer is ?

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Q: Given x = 8 In(t) and y = 64 t² then find dy %3| dx d²y %3D dx? ||

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Q: (4 + e² ë*) dx + (1 +et) dy.so *) dy so A Scanned with

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Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx) y = (tan x + sin…

A: The given function is y=tanx+sinx-3 We have to find dydx by using Leibniz’s notation for the chain…

Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

Q: Find the G.S.of the DE. (ytu dy=D0

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Q: dy Find dx x2 y = dt dy dx (Type an exact answer in terms of e.)

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Q: (a) Find dy/dt, given x = 4 and dx/dt = 4. dy/dt = (b) Find dx/dt, given x = 49 and dy/dt = 8. %3D…

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Q: From the following table of values of x and y, obtain the equation for dy/dx and d'y/dx2 and its…

A: First we find equation.

Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: Find the value(s) of at y= 1 given that x2y+y2 = 5. dx

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Q: Find dy of the expression (xy)* = e %3D dx

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y)=3x<y becomes dx dz 1 A…

A: Topic  =Differential equation Correct option  = A

Q: Find dy/dt using the given values. y = x3 − 2x or x = 5, dx/dt = 3   dy/dt=

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Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: OBTAIN THE GENERAL SOLUTION 2. dx: t (1+e?) see" x dt 3. x dx - Ja - x² dy =0

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2…

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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…