(a) y = Vtan(7.r5 + 5 cos(5x)) %3D

Q: Suppose that x and y represent the amounts of two basic inputs for a production process and…

A: Suppose that x and y represent the amounts of two basic inputs for a production process   The…

Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: dy y = x-'(a² + x²)¿, solve for dx

A:

Q: Solve dy/dx=ax+by+c

A: We need to use substitution method to convert it into separable form

Q: i(t) = (A₂ + A₁t)e-at

A:

Q: Q2: find y' y= 33xelnx2

A: y=33xelnx2 We know that elnx2=x2 Now ,y'=33xx2 Differentiate using the product rule…

Q: olve y′′′′+ 3y′′−4y = e^2t

A:

Q: How does d/dx(xy^2) work?

A: To find the value of .Concepts used:Product Rule of Differentiation: .Differentiation formula: .The…

Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

A:

Q: Find linearization of the given function: f(x) = 1/x at x=0.5, dx = 0.1 %3D

A:

Q: Suppose y = 2/x³ +3/e*². Find Dxy. Dxy = Hint: Apply the chain rule and watch for the right sign.

A: Finding derivative with respective 'x'.

Q: My degree costs $40,000. I was selected for a scholarship and got $16,000, now I'll only have to pay…

A: Given that my degree costs $40,000 and i was selected for scholarship and got $16,000 and now i have…

Q: dy '(x2 + 2x)을+(x-+2) y 3D xe

A:

Q: 8. (x² + 2xy − 4y²) dx — (x² − 8xy — 4y²) dy = 0. - -

A: #8

Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter…

A: we have been given the slope of the equation xy=x-2y,at (4,1) it can be written as  xy=x-2y

Q: dž 3 9. with x(0) = dt -1 -3 x1(t) = help (formulas) x2(t) : help (formulas)

A:

Q: 22. y = sec 4(4+x³) 5

A:

Q: A linear model of the spread of an epidemic in a community of 1000 people is the equation: dx/dt =…

A: To find the number of people x(t) who have contracted the disease at the time oftime t.

Q: S2(x* +1)e** dx . -5x t³ -9 -dt . 2t +3

A:

Q: solve dx dt. (1 = 72 X -2 7 with X (0) = 3 L2

A:

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: dy 3(x+y+1)2-(x +y- 1)² dx

A: Given :

Q: If y=x^(2)+81, find the relationship between (dy)/(dt) and (dx)/(dt) Where x,y depend upon t.

A: We have to find the relationship between  and where  and  depend upon .We use Chain Rule to answer…