dM/dt=4M, M=25000 when t=2   dT/dx=-3.2T-1328, T=-212 when x=2

Q: dy/dx if y=tan((1-2x)/(1+x)) dy/dx if y=x^4 ln(3x-1)

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: Determine the function if it is a solution to the differential equation or not.

A: Given function is a solution of the differential equation. This is a complimentary solution along…

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

A:

Q: du/dt = (1/ln(t+u))  -1

A:

Q: Draw a slope field for the differential equation / = 0.2x² + y

A: We have to draw the slope field for the following differential equation, y'=0.2x2+y

Q: dx dy dz y +z X + y X +2

A:

Q: Solve differential equation  [Sin(xy)+xycos(xy)+2x]dx = [x^2cosxy+2y]dy

A: GIVEN : (sin(x,y)+x y cos(x,y)+2x)dx+(x2cos(x y)+2y)dy=0 let P(x,y)=sin(x,y)+x y cos(x,y)+2x  and…

Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

A:

Q: After t hours, the percentage of alcohol in the blood decays according to the differential equation…

A: After time t=9.555 hours....they can legally drive...for detail solution...go through the solution

Q: A company will sell N units of a product after spending $x thousand in advertising, as given by N =…

A: We are given that N=50x-x2, 5≤x≤25. Now, dN=50-2x dx. First, increase the advertising budget from…

Q: A population of insects grows at a rate that is given by dN = 0.078N dt - If there are initially 100…

A:

Q: Find the general solution of the differential equation for interest compounded continuously,dA/dt =…

A: dA/dt=kA

Q: Explain briefly the classifications of the Differential Equations?

A:

Q: Solve differential equetion. = 8X+_5X dx 4-202

A:

Q: Use integration to find a general solution of the differential equation                      dy / dx…

A:

Q: 3. Water is being poured into a 10 liter leaky container so that the volume of the water, V,…

A: A differential equation is an equation that contains functions and their derivatives.  A…

Q: Suppose that glucose enters the bloodstream at the constant rate of r grams per minute while it is…

A:

Q: What is the differential equation given functions?

A:

Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

A:

Q: Solve for homogenous differential equation (x + y)dx + 2xdy = 0

A:

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

A:

Q: Is the differential equation x" + e^x - 1 = 0 conservative or non-conservative? Explain why? If it…

A: Given x''+ex-1=0

Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: √2xy dy/dx =1, given y=1 when x=1

A:

Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: Solve for the differential of y when y= sinzx. x= -, and dx 3 2 4

A: we have to solve the problem

Q: Assume that the rate of evaporation for water is proportional to the initial amount of water in a…

A: Here, given that rate of change of evaporation is proportional to the initial amount of water.…

Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

A:

Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

Q: | f(t)f(t – t)dt = 6t³

A:

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

A:

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

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: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

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Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

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Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

A:

Q: by

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Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

A:

Q: The total number of reported cases of an illness in a large city days after the start of an outbreak…

A: According to the given information the total number of reported cases of an illness in a large city…

Q: The rate of change of the population p of bacteria at time t is proportional to the population at…

A:

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

A:

Q: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

A:

Q: 6. A certain radioactive material has a half-life of 100 days. If the amount of material present, x,…

A:

Q: A culture initially has P0 number of bacteria. At 1 h the number of bacteria is measured to be…

A: Let P(t) be the number of bacteria present at time t.Given that the growth rate is proportional to…

Q: If an object's mass is changing at a rate proportional to its weight at a given time, does it make…

A: Two quantities are said to be proportional if they are increase or decrease in same manner. In such…