Solve the ODE xdx + ydy = xdy - ydx a. ln [(y+x) / x] = C b. ln [(x-y) / x] = C c. arctan (y/x) - 0.5 ln [(y^2 + x^2) / x] = C d. arctan (y/x) - 0.5 ln [(y^2 + x^2) / x^2] - lnx = C e. none

Q: Simplify: x + 1 x - 1 x - 1 x + 1 x - 1 x + 1' x + 1 x - 1

A:

Q: Calculate y '' y = x- 2/5

A: Given that, y=x-25 We have to calculate y''. Differentiating y with respect to x we get,…

Q: Find f(2) if f(x)=-3^x Supiste that the population of Pikeville t years after the year 2005 is…

A:

Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by…

A: The logistic growth rate model always produces an exponential function. If the model contains the…

Q: fay = 3x Ln(x²1) 3x = 3Ln(x²-1) + 3× · 3x BLn (x²-) +

A:

Q: f(0)   =170/1+6e^-2x

A:

Q: Differentiate the function. g(t) =  ln    t(t^2+1)^6                   3rd root of 8t-1

A: The solution are next step

Q: eliminate the arbitrary constant  y=c_1+c_2 e^(-4x)

A: Given y=c1+c2e-4x                      (1) On differentiating both sides , we get y'=-4c2e-4x…

Q: A colony of bacteria is measured each day. The diameter of the colony in mm on day t of the…

A: By differentiation

Q: Differentiate. G(x) = (4x2 +5) (4x+ Vx) G'(x) = %D

A:

Q: If f(x) = (2x-1)^6 (x+3)^5, then f'(0)=

A:

Q: population of a​ city, in​ millions, since 1990 has grown at a rate of P′(t)=0.21e^ 0.027t million…

A: I have provided solution in step2

Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: 3X (x³+

A:

Q: y=(x^1/2)^7x find y'

A:

Q: 1 2 30x(x − 1) ¹ dx is

A:

Q: y=(x^2+1)^4 y`(1)=?

A:

Q: Find the differential of y = e ³²cos3z (A) dy=3e-32 cos3z B) dy=-3e-32 (sin3z + cos3z) dy = -e-³²…

A:

Q: y = 9-e^-x/9+e^-x solve for f inverse

A: Given that:f(x)= y = 9-e-x9+e-x

Q: If t(x)=5(9^x), find t′(x).

A:

Q: Find d/dx((x)(d/dx(x-x^2))

A:

Q: Differentiate y = x^4 −4/π+ 4e^x + 4x + 4 ln x

A:

Q: How) I- (x ln coldx

A: Given: