rowtn: dP = kP(1 dt – M

Q: Find dy/dt using the given values  xy = 5 for x = 10, dx/dt = −2

A: Given,xy = 5  ,  for x = 10 , dxdt=-2

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 dy/dt y=(40+e^t)ln t   dy/dt

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Q: Solve for an autonomous equation? dy/dt = f(y)

A: An autonomous first-order ordinary differential equation is an equation of the form

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

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

Q: 1?ei dt

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Q: d Vi In(t)dt equals dx

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Q: dt t In yt

A: Intregate

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: b- Yt dt + dBt dY; 1-t

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Q: dx dy 1. +у%3х, Зу dt dt

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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°…

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Q: y? what is dt/dy? 2y +1 if t =

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Q: Find the general solution of dt z(t) = Az where z = y(t and A =

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Q: find dy>dt.…

A: Given function, y=ecos2pt−1

Q: (i) J. dt 6. –t²

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: + iwe¬lwt = 0. dt = 0,

A: Given differential equation is

Q: Find. d2 - (11 Int) dt? d2 (11 In t) =D dt?

A: To find:

Q: 크(F(a+) e dt dx 19

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

Q: t²e*dt dz J2r

A: on solving this we get the

Q: Find dv ifv = t- dt

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Q: Find the value of dr / dt at t = 0 if r = (θ2 + 7)1/3 and θ2t + θ = 1.

A: Consider the provided equation, r=θ2+713 and θ2t+θ=1 Find the value of drdt at t=0. Apply the chain…

Q: Solve the IVP dy/dt + 2(t + 1)y^2 = 0, y(0) = −1/8

A: To solve the IVP dy/dt +2(t+1)y²=0, y(0)=-1/8

Q: c) Calculate the integration Y+1 dydx

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Q: Find dv if v = t- dt |

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

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

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Q: t2 + 9 V8 - t dy if y = In dt Find dy dt

A: Given equation is y=lnt2+98-t. Compute the derivative with respect to t.…

Q: | dy dt e3t +e?

A: We have to find the solution

Q: *show work*

A: Find dy/dt.

Q: 10 ( °j + t°k)dt ti + t

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Q: Solve the IVP 3 d.x dx a(0) = 1, = 2. dt \t=0 dt2 dt

A: Given d2xdt2=-x(dxdt)3, x(0)=1, dxdt|t=0=2

Q: E. Find , and in terms of dx dt' dt 1. x = t°- 1 2. x = 4t + 3 y = 3t – 2 y = 4 - t

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

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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: 2t dt J 1+e 1+et

A: By the method of substitution I have solved The integration

Q: - 0.2 t N=N,e

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Q: Find dv 1 -if v = t dt

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Q: Find dy/dt. y =

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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: If eSp e = p + t, compute dp/dt when p = t = 0. p'(0)

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Q: d?x dx + 4 + 5x – 10 = 0, when t = 0,x = 0,x = 0 %D | dt2 dt

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

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Q: t (a) y = dt Vt? +1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: g(t) dt = 1. %3D

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Q: zp dt

A: we have to solve the differential equation. dzdt+2et+z=0

Q: (b) / 6dt. 2. Find (a) * dt, (c) sin 3t dt, (d) e dt.

A: solution of the given problem is below using integration formula...