dx dx a. Find , for x = x(t) defined implicitly by 33+33 x In(t) = e*xt. Also evaluate %3D at dt dt (t, x) = (1,1).

Q: Find the particular solution, Using the integrating factor method: dy + In x =- dx y where y(1) =3.

A: Solution: The objective is to find the particular solution to the given differential equation.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x3/4 %D dy =

A: given y = 8x34  we find the differential dy of the above function.

Q: dx + dx dy e; dy = x +y Use elimination to solve: dt dt dt dt

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Q: The equation dx/dt = kx is both separable .4 and linear اخترأحد الخيارات

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Q: Given x= 2y? , evaluate dx dy at y = 1 and dt dt 3.

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: Find the differential dy of the given function. (Use "dx" for dx.) y dy

A: use chain rule while differentiating

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 5 y%3D 2x - 5 dy =

A: Given:y=x+52x-5Differentiation formula:ddxxn=n.xn-1ddxuv=vdudx-udvdxv2

Q: d t In(t)dt} dx 3

A: We will find out the derivative of given function using fundamental theorem of calculus.

Q: a. (xy + y²)dx+ (=

A: a. Given,       (xy+y2)dx+(x+2y-1)dy=0

Q: Find the differential dy of the given function. (Use "dx" for dx.) y%3D 2x . -5 dy

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4/x + dy

A: find dy

Q: Solve the solution of the DE of the Gompertz function: dP = c ln| dt In[P

A: To solve the given Differential Equations.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=6√x + 7 x dy

A: To find the differential dy of the given function.y=6x+7x

Q: Find the value of dy/ dt at t = 0 if y = 3 sin 2x and x = t2 +π.

A: Given : y=3sin2x, x=t2+π To find : dydt We can write dydt as, dydt=dydx×dxdt                    1…

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y = 5 (4x-1)² X

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Q: d Q. S Vt In(t)dt equals dx a. 4x³ (In x) – /2 ln(2) b. 4x5 (ln x) – /2 ln(2) c.4x³ (ln x) d. 16x°…

A:

Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: Find  dy/dt  using the given values. y = x3 − 9X for x = 3,   dx/dt = 2. dy dt =

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Q: Find an integrating factor for the DE y(4x – 3y – 3) dx +x(x- 2y – 1) dy=0_

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x+3/2x-3

A: Quotient rule of differentiation:

Q: given xy+x2y=2 such that dx/dt=2 in/sec. Find dy/dt for x=1

A: Consider the equation and

Q: Given: y=fso(x-1) dt - dy =D{(x). dx show that

A: We will prove the following result using Leibnitz rule.

Q: Find the differential dy of the given function. y = csc 5x dy dx

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Q: hello! can you help me with this calculus problem?

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Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 6. y = 2/x +

A: Given:

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 2 y = 4х — 3

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+1)/(3x-5)   dy=

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Q: Consider dx/dt = t − x, x(0) =1. a) Use Euler’s method with step sizes h ? 1, 1/2, 1/4, 1/8 to…

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Q: What is the integrating factor of the non- exact DE (4ху+ 3у?-х)dx+x\x+2y)dy %3D0 ?

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Q: Find dy/dt using the given values. dy dt y = x² - 6x for x = 1, dx/dt = 3.

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 5x − 7 dy = | y = X

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Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: Find the differential dy of the given function. y = √x +1/√x

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

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Q: Find the integrating factor of the given linear de and general solution of the…

A: Here we solve the given differential equation.

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 2 y = 5x - 9 dy =

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Q: Use the method of first principles to show that d/dt(lnt)=1/t

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Q: Find dy/dt using the given values. y = x3 - 5x for x = 3, dx/dt = 4. dy dt

A: Value of dy/dt= 88 See the calculation below

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3Vx + X. dy = | %3!

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Q: a) If d'r = 3, when t = 0 we have dt? dx 0 and x=0, what is x as a function of dt t?

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2 – - 6 dy = f(x)dx

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

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Q: dx(t) If the PSD of X(t) is Sry(0). Find the PSD of - dt

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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 integrating factor: dy 3y = x (1 + x?) dx e3x None of these e-3x x3

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Q: If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

A: Differentiate both sides with respect to t.