Solue u (x)= (x-1)e+4 ult)dt e.

Q: t du/dt = u - u2 ln(t)

A:

Q: Find f(x)

A: It is given that f'x=1+3x, f4=25.

Q: An equation of the tangent line to the graph of f(æ) = (e¯")² at a = - In 2 is Select one: O a. y +…

A: As per company's norm we are allowed to solve only one question at a time. Repost the rest question…

Q: dy 1 csc(x) -csc(x) y = y* dx

A:

Q: Solve the D.E y' 1 (e-y-x)

A:

Q: second derivatives of f(x.y) = (x+y) e.

A:

Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

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

A:

Q: Find the population of fish at 10 years if p(0) = 1000

A: Given,  The rate of change of a fish population is  dpdt = e12t - 100  We have to find the…

Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: 4. [csch(x)] = -csch(x) coth (x) dx

A: we know thatdifferentiation of cosh(x) is sinh(x) and vice- versa

Q: dt' Population growth is commonly modeled upon the simple statement that the popu- lation growth…

A:

Q: |(x'-x)dx=-

A: First I have split the integral in two parts, then by rule of integration find the solution.

Q: V.EVALUATION: Given the following scores: 5, 7, 12, 14, 15, 22, 25, 30, 36, 42, 53, 65. Find: 1. Qi…

A: The given data is already in ascending order: 5,7,12,14,15,22,25,30,36,42,53,65 Q1=(n+1)4thterm…

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

A:

Q: ton's law of cooling states that the rate of change in the temperature T(t) of a body is…

A: Newton's law of cooling states that the rate of change in the temperature​ T(t) of a body is…

Q: y' = = x/n(x)

A: We can find the derivative of the given function by using logarithmic differentiation.

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

A:

Q: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…

Q: G(z) = tant d Find G(1) = %3D Find G'() =

A: Given that: G(x)=∫1xtant.dt

Q: 3t dt g(x) g'(x) = ||

A:

Q: х (1 point) If f(x) = t' dt %3D then f' (x) = f'(-5) = %3D

A:

Q: y(x) =x' (2x – r²)

A:

Q: 1(10,15) 2. An ant farm population is growing at a rate of g()=15e and declining at a rate of…

A: The rate of growth of an ant farm is gt=15e5t and  the rate of decline of the ant farm is dt=15e5t.

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.