(1+e' )dx +e" (1-)dy = 0 y

Q: Look at picture please

A: Given,

Q: d^2y/dx^2   +   2(dy/dx)  +  y =  4e^-x                      Solve Diffy eq

A: Given: d2ydx2+2dydx+y=4e-x We have to solve the given differential equation.

Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: Solve y"+16y=17e^x, y(0)= 6. y '(0) = -2

A: Given differential equation is                                                  y''+16y=17ex and…

Q: Y'-(cosx) y=cosx.  Y(0)=1

A:

Q: y = () Зx2-2 х+3

A: I am using the chain rule to find the first order derivative of the given equation

Q: find (d^(2)y)/(dx^(2)). y=xcos(5x)-sin^(2)x

A: y=xcos5x-sin2x Differentiating with respect to x, we get…

Q: 8x V a8 + 5 dx =.

A:

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

A:

Q: Find dy/dx and d^2y/d^2x

A:

Q: dy/dx of y=sec^-1 (5x)

A:

Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: dy/dx of y=cos^-1 (e^-3x)

A: Given y=cos-1e-3x

Q: Solve dy/dx=2xy/(x^2-y^2)

A:

Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

Q: Find for implicit equation dx xy -e' = 3x*

A:

Q: Identify the rate of change (dy)/(dx) of y=x^(2)-2x when x=1

A:

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

A:

Q: Solve for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.