please help me solve this:)
differential equations
1. solve dN/dt=(N-2)*(N-1), N(0)-5 2. solve dN/dt= N*((N+2)*(N-3), N(0)-2
1. solve dN/dt=(N-2)*(N-1), N(0)-5 2. solve dN/dt= N*((N+2)*(N-3), N(0)-2
Represent the FSM in Figure 1 in form of an ASM chart. DN/0 S1 N/0 S3 D/0 N/0 S2 DN/0 Figure 1 Mealy-type FSM for Question 2.
+00 1 ( 106 ) * *sinud x dv) | /0=- 1+ n2 1 n2 n=1 (9tº + 1)+ (9t4) + (-914 – 3t)*
Q7 You are given the sequence n2 In(x)= n2 + of functions on the domain [0, oo) where 0 < a < 2. Determine the range of o for which the sequence is uniformly convergent.
dn n(0)=1 = rn. dt Main activity (2.5 marks) (a) If we modify Eq. *) to model a growing population with an additional con- stant rate of immigration, a, we get dn n(0) = 1. = rn a, dt Solve this using the integrating factor method (b) Another population growth model is the logistic equation dn - гn(1 — п). dt Solve this, with the initial condition n(0) = 1/10 (c) Adding immigration, a, the logistic equation becomes dn —...
If y = f(x), the inverse of f is given by Lagrange's identity: 1 dn-1 f-1(y) = = y + n! dyn–ī [y – f(y)]" when this series converges. (i) Verify Lagrange's identity when f (x) (ii) Show that one root of the equation x - 3x3 = i is = ac. 32n+1 (3n)! 2 = - (+) n!(2n + 1)! 43n+1 0 (iii) Find a solution for x, as a series in 1, of the equation x = eta
Draw the diagram and determine the forces.
a sin 6 dN sin fdN cos fdN dN cos 0 f dN sin F. 02 A R R Rotation A SOo D.
a sin 6 dN sin fdN cos fdN dN cos 0 f dN sin F. 02 A R R Rotation A SOo D.
2,000 dN dt = 1.0N 1,500 dN = 0.5N dt Population size (M) 1,000 500 0 0 15 5 10 Number of generations Darker line on left = population 1 growth Lighter line on right = population 2 growth Use the figure above for the following question. Which of the following is FALSE regarding population growth of these populations? For both populations growth increases with larger population size Population has a sealer per capita goth rate than Population Populations will...
C: Recall that the exponential generating function for the number of de- rangements equals Dn D() 1 x n! (a) Find all poles of D(x) and principal parts at these poles. (b) Use "pole removal" procedure to estimate Dn
C: Recall that the exponential generating function for the number of de- rangements equals Dn D() 1 x n! (a) Find all poles of D(x) and principal parts at these poles. (b) Use "pole removal" procedure to estimate Dn
10 x(t) = { 1-0. 50.4Sts0.4 0 3.6 < t-0.4 A signal x (t) is defined as; (i) Dn (ii) Do (i) To (iv) ω。 (v) Sketch ID, 1 vs nu.。 (vi) Sketch <D (0) vs nw (vi Power of x(t) To implement Fourier Series 4.5 3.5 2.5 1.5 0.5 0 -2 (sec)