please help me solve this:)
differential equations
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...
2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1 2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1
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 —...
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
3 4 Please help me solve the following Differential Equations problem Either solve the given system of equations, or else state that there is no solution. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.) x2x2 X3 18 2x1 X2 X39 X1x22x39 (xx0,0.0x Additional Materials a eBook Ask Your Teacl Mty Notes O 0/1 points Previous Answers BoyceDifE 010 7 3005 26 Submissions Used If the system is...
Solve the system of differential equations dx/dt = x-y, dy/dt = 2x+y subject to the initial conditions x(0)= 0 and y(0) = 1.
3 For the autonomous equation dN/dt NON - 2)(N - 5)2, (a) What are the equilibrium values of N, i.e., the solutions with N(t) constant? (b) Sketch families of solutions in the t-N plane (c) If a solution of the differential equation in this problem has the initial condition NO) 2.1, what happens to that solution after a long time? 3 For the autonomous equation dN/dt NON - 2)(N - 5)2, (a) What are the equilibrium values of N, i.e.,...
solve please as soon as possible 24) Solve the ordinary differential equation: 1 + 2 dt? dt + 5y = e sint, given that when t=0: y=0, and x = 1
use the Laplace transform to solve the given system of differential equations dx dt dx dt dt dt x(0) 0, y(o)0 x(t) =
need help please 1) Solve the differential equation -sin (20) cos (3) dt Find the particular solution that solves the IVP y) =
Solve the system of differential equations using Laplace transformation dx dy dt - x = 0, + y = 1, x(0) = -1, y(0) = 1. dt You may use the attached Laplace Table (Click on here to open the table) Paragraph В І