d Vi In(t)dt equals dx

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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

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

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

Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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Q: 1. Classify the D.E. 2xe dx + (x²e + 1)dy 0.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

A: To solve the given differential equation.

Q: find dy/dt. y = ecos2(πt-1)

A: We use the chain rule to find the derivative

Q: T rsinx S"Stnx y dy dx 2 dx dy

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Q: Inx Iny mz dx dy dz

A: Given integration is  I=∫1e∫1e∫1elnxlnylnz dx dy dz=∫1e∫1e∫1elnx dxlnylnz dy dz…

Q: dx dy 1. +у%3х, Зу dt dt

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Q: dw (C): If w = tanx and x = 4t³ + t ; Find dt dy

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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: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

A: We will find out the required values.

Q: dy dx 1+ey

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Q: The exact differential d(xy)= xdy+ ydx , what is the d O= 4x²y°dy+ 2xy*dx.

A: Find your answer below

Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

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Q: dy Find dx S cos (1)dt y = dy dx II

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

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Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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

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Q: Find dy/dx: y = In [(1 + t^2)/(1 - t^2)]

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Q: (b) x²e3 dx (d) arctan 4t dt

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Q: 2. Find dy/dx a) y = dt, x> 0

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Q: y e dz dx dy -Inx

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Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: 크(F(a+) e dt dx 19

A: We have to evaluate, ddxFx4=ddx∫10x4  e-t2 dt

Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: LL y e* dz dx dy -Inx

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Q: a) dx dt dy dt =x+√3y+et √3x-y+e³t = ||

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Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: dy = (x – 2)e-2y dx einitial condition y(2) = In(2).

A: Explanation and solution is given below.....

Q: The general solution to the DE + Py =0 is dx

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Q: d 2x Le arctan t dt dx

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

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Q: e'dy + (5t + ye')dt = 0.

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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: d (F(x^) = ew dt %3D dx dx

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Q: dV d(e") dy dy

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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: dy 13. y(1) = e de ar(In y - Inr + 1)'

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Q: Find the particular solution if dy/dt=sin(t) and y(2)=2.

A: Topic:- application of integration

Q: psin(z) (c) y = [ dt t+1

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Q: S 6 ttan t dt = %3D dx Jx

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Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives

Q: dy dt 1 Find dx if 2y°t + t°y = 4 and d.x Cos t

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