Solve the following : dy _ 4x+6y+5 (i) dx 2x+3y+4 dy dx (ü) x- +y = y² log :

Q: d_(F(x*)) d dt dx dx 16

A: To find- solve the given equation.

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: Solve for y: O y = Oy = x = 4ln(y - 8). 1 4 ln(x - 8) x+8 4 O y = e-4x + 8 O y = 4 ln(x - 8) Oy =…

A:

Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

A:

Q: hy there's no 3 in the denominator in your dt equation?

A: Here in the solution  gives  Its correct

Q: Consider the following situation. A tank contains 2500 L of pure water, with 15 kg of salt dissolved…

A: Let consider that function s(t) is kgs of salt in the tank at time t minutesAs we know thats'(t)=The…

Q: dy/dx of log5(y2-y) + csc-1 (x/π) = -3y

A:

Q: 4x – 9y = 1 find the first derivative

A:

Q: Tx – 2VT+ V3 (2x2 – x) (3x - 2) - - Find D Do not use logarithmic differentiation.

A:

Q: Given the position of a car a time a, is defined by s(a) = 3a^2 -15a a. Is the car moving forward or…

A: To find the following parts a). The car is moving forward or backward at time a=3. b). The car is…

Q: Q5): Find: dy dx 1- y= log,(x) 2- y = x**

A:

Q: Solve x +y= logx dx

A:

Q: Which of the following is the second derivative of f(x) = 2x - 6x2 + 5x - 9? Select one: a. f"(x) =…

A: We are given with the function and we have to find the second derivative for which we have to…

Q: (og, y)² dy y

A: We have to integrate the given integral.

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

A:

Q: Suppose that a company's monthly profit depends on the number of units sold that month according to…

A:

Q: rowtn: dP = kP(1 dt – M

A:

Q: 5 solve dx dt = [72X -27 @=132 [3] with X(6)

A:

Q: )find dy to yalog,o(3X+1)

A:

Q: Launch Linear: y = mx + b Quadratic: y = ax? + bx + c Exponential growth: y = ab" (b- 1+r) %3D 10…

A: We can compare linear function and quadratic function. So let's compare them.

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Suppose a person's utility function for items x and y is u = ln(x) + ln(y), and he currently has…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.