Please solve this differentail equation step by step
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
Q.1 Solve the following differential equation in MATLAB using solver ‘ode45’ dy/dt = 2t Solve this equation for the time interval [0 10] with a step size of 0.2 and the initial condition is 0.
please solve 42.7: (a),(b),(c) 42.7. Consider = N()(a - bN(t – (m)] (a) Show that small displacements from equilibrium satisfy the following linear delay-differential equation: dN (1) = -aN (6- m. dt (b) Ifm > 0, we will not find the general solution. Instead, let us look for special solutions of the form of exponentials, N (1) = e. Show that r = -ae-rim 184 Population Dynamics-Mathematical Ecology (c) Show graphically there are two real solutions if the delay is...
MATLAB CODE: Task 2 8y dt Solve the above ordinary differential equation (ODE) using Euler's method with step sizes of: 2. h 0.75 3. h 0.5 4. h 0.001 a) For each step size, plot the results at each step starting from y(0) 3 to y(3). b) Plot on the same figure as part a) the analytical solution which is given by: 9 24 -8t c) Calculate and print the percentage error between the Euler's method and the analytical result...
Anyone please help me step by step Thank you dx dt dy dt v=vo +at 1) A car is traveling at +40 m/s and brakes to a stop with constant acceleration over 200 m. a) Draw a picture that shows all the relevant physical quantities, including unknowns b) Solve for the stopping time symbolically based on the given quantites (do not substitute in any values, including 0 values). e) What is the stopping time (numerically)?
what is the step to solve this? F(jw) = | 10e-jwt dt
(20 pts) 4. Solve the differential equation dy = yt? - 1.17 dt over the time interval of [O, 1.5) with the step size of 0.5 and y(0=1. 1) Obtain the analytical result. 2) Use Euler's method. 3. Use Heun's method with iterating the corrector. Do two iterations in the corrector step.
need help please 1) Solve the differential equation -sin (20) cos (3) dt Find the particular solution that solves the IVP y) =
Applied combinatorics. 17. Let bo 1, b2 = 1, and b-4. Use generating functions to solve the recurrence equation bn+3-4bn+2 -bnt1 6bn 3n forn20. 17. Let bo 1, b2 = 1, and b-4. Use generating functions to solve the recurrence equation bn+3-4bn+2 -bnt1 6bn 3n forn20.
Please evaluate this integral step by step, thank you! Evaluate: 2 dt 4 + 12 و 0