If F (x) = (t2) dt , then F' (4) = cos 0,

Q: What is the general solution to the differential equation (tan x)dy - (4y In y - y tan³x)sec²x dx =…

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Q: dx/dt = 2 and y=x^3, what is dy/dt when x=-4,2,6

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Q: if f(x)=2x-cos(x), Use Newton's method to approximate x, starting from the initial value xo=0

A: Solution:-    fX=2x-cosX           x0=0    f'x=2+sinxwe know      x1=x0-fx0f'x0           =0-f0f'0…

Q: x² S cos(VE) dt dx 'x

A: Given ddx∫xx2costdt

Q: Can i get help step by step please

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Q: By separating variables, find the general solution of the differential equation dvc = - dt RC' where…

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Q: If z = +3y, find the differential dz. dz =

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Q: 1-dt 3- Ln(t) dt. Q10:- Calculate dx J2x t2

A: Use fundamental  theorem of calculus

Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

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Q: Solve the differential equation using Laplace transform of y"+y=6sin2t ; when y(0)=3 and y'(0)=1

A: The given differential equation is…

Q: Since dv = cos( cos9 x) dx, integrate the differential equation to obtain the function v. V = ^p -…

A: We have to find solution

Q: What differential equation corresponds to an RC circuit with a resistor of R = 100 and a capacitor…

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Q: If sin(5x - 5y + z) = 0, use implicit differentiation to find the first partial derivatives with…

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Q: 15 dy dt 2-

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Q: find dx/dt at x=1 if y=3x^2+3 and dy/dt=1

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Q: D. Solve the differential equation using Loaplace transform of y" + y = 6sin 2t ; when y(0) = 3 and…

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Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

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Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: 5. x- + Px = sin t %3D dt

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Q: Find dy/dt when x = 1 if y = x2 + 7x - 5 and dx/dt = 1/3.

A: Given:

Q: What is the linear differential equation of dy/dx+2xy+xy^4=0 using dv/dx?

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Q: Identify the differential equation that produces the slope field below. // ||// // 2.

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Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

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Q: Find dy/dx for x⁴+siny=x³y²

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Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

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Q: 5

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Q: A population of wild horses is represented by the logistic differential equation dP/dt =…

A: Given: The logistic differential equation is, dpdt=0.08p-0.00004p2          (1) To find: A) The…

Q: Let xy = 3 and dy/dt = 4. Find dx/dt when x=2?

A: Given :                xy = 3  , dydt = 4 To find :                      dxdt when x=2

Q: Find the general solution of the differential equation and check the result by differentiation.…

A: Given the differential equation:

Q: Find the curve y that satisfies the differential equation y' sin r and passes through the point (T,…

A: Integrating the equation

Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given acceleration, a(t)=cost,       t>0 And v(0)=0, x(0)=3

Q: 5) If y = x³ + 2.x and dx/dt = 5, find dy/dt when x = 2.

A: Q.5) If y=x3+2x and dxdt=5 Find: dydt when x=2

Q: Find dy/dt at x = 1 and y = x^2 + 3 if dx/dt =

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Q: tan(4x + 8). Find the differential dy when x = Let y 1 and dæx 0.3 Find the differential dy when x =…

A: In the given question we have to find dy of the function at both of the given value.

Q: Show that the sine integral satisfiesthe (differential) equation xS'(x) + 2S''(x) + xS'''(x) = 0.

A: Given information: Sx=∫0xsinttdt To prove xS'x+2S"x+xS'''x=0

Q: -5 1 -dx Jo 2x+4 1 dt 2 V6-t 1 ii) S,

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Q: Can i get help step by step please

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Q: Find dx dt dx dt at x 2 if y= = - 2x² - 1 and dy dt = - 3.

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Q: If 3xy+x^2=7 and dy/dt=-16, find dx/dt when x=1

A: Derivative, in mathematics the rate of change of a function with respect to a variable. Derivatives…

Q: Find dx (e3t + 1)dt. -cos(3rx)

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Q: A population x of rats satisfies the DE dx /dt ka?. Initially there are x(0) = 2 rats, and their…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: b) Find if e Vt2 +5 dt + siny = x- xcosy rsinx ycscx

A: According to Leibniz' rule:

Q: Find dx dt dx dt at x = = 2 if y= 2x² - 1 and dy dt - 3.

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Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

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Q: (a) f* (1 – cos 3t) sin 3t dt,

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: What is the slope field of a differential equation y' = ƒ(x, y)? What can we learn from such fields?

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Q: If x3 + y3 = 9 and dx/dt = -3, then what is dy/dt when x = 1 and y = 2?

A: Given,

Q: Find at x = -2 if y = - 4x² + 3 and dy dt dy dt = dx dt - 1.

A: Topic = Derivative As per guidelines , at a time only one question can be answered. pleas repost for…

Q: tan(2x + 2). Find the differential dy when x = Let y : 4 and dx 0.2 Find the differential dy when x…

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Q: Can i get help step by step please

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