according to the rules only
first four subparts to be answered
ODE - 1 Q.1 Solve the following first order linear initial value problems. (a) 2ndp -...
WESLUI 1 points Save Answer Solve the following initial value problem involving a separable first-order differential equation to determine the function y(x). Then use the solution to state the value of y(56). y'(x)=xy, y(0) = 63
dy 1.A. Solve the differential equation: = = y2ex dx dy B. Solve the initial value problem: + 2y = 3x2 ; y(0) = 1 dx C.A certain radioactive substance has a half life of 1300 years. Assume an amount yo was initially present. a.Find a formula for the amount of radioactive substance present at any time t. b.In how many years will only 1/10 of the original amount remain?
5. Solve the initial-value problem associated with the linear first-order ODE z y + * In(x) y = 2e3x y(1) = 0, O O where the prime stands for differentiation with respect to x. O A. y = r-> (3x + Ke"), where K is an arbitrary constant. B.y=r" (e3+ Ke*), where K is an arbitrary constant. C.y=r-(+2 – 23). OD. y = x* (032 – *+2). O E. y = x-P(.38 – 42+2). OE y = x? (032 –...
ether they are on you will receive an Ffo 1. Solve the first-order differential equation dy - x2+xy+ya with y(-1) = 1. (10pts) dx 2. Solve the initial value problem dy + y cot x = y sin x, with y(1/2) = 1. (10pts) dx 3. Given the system of linear coun X2
In this exercise we consider finding the first five coefficients in the series solution of the first order linear initial value problem (+3)y' 2y 0 subject to the initial condition y(0) 1. Since the equation has an ordinary point at z 0 it has a power series solution in the form We learned how to easily solve problems like this separation of variables but here we want to consider the power series method (1) Insert the formal power series into...
Solve the following first order ODE with a given initial condition using Euler method in Excel using the formula given with n= 3, 10, and 100: y(n1)y(n)f(x(n), y(n)). dx (b-a) dx y'(x(n), y (n)) y'6where y (3) = 1 on the interval [3,6] b.y'yinwhere y (2)= e on the interval [2,5] a. Create a table for each n-values given and a graph one separately.
Solve the following first order ODE with a given initial condition using Euler method in Excel...
Question 4 a) Solve the Initial value problem. (PLO-3, CLO-3,C3) Marks-13 (x+1) - ny =e(x+1)n+1, y(0)=1 dx b) Solve the following non-linear first order ordinary differential equation. yp+ (x – y)p- xy = 0 (PLO-4, CLO-4,C4) Marks-12
question 1,2,3 please
Special Functions- IVP and BVP Quiz 3.12 Solve the following initial value problems. Ans: y- cost+ H(-3)-cos(t 2r) H(t3) y(0)=0,s(0)=1 where 2. v', +y=g(t), { 1, 0 t<π/2 g(t) = Ans:y=1-cos t + sin t + (sint-1)H(t-π/2) x(0) = 0,d(0) = 1 where 3、z"(t) + 162(t) = g(t), cos 4t, 0 12π. t<π 5
Special Functions- IVP and BVP Quiz 3.12 Solve the following initial value problems. Ans: y- cost+ H(-3)-cos(t 2r) H(t3) y(0)=0,s(0)=1 where 2. v',...
I've got parts a-c and
understand them. However, I do not understand the rest of the
problem and how to solve for the answers in parts d and e. Any
explanation would be helpful.
(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 8 N when the speed of the mass...
Convert the second-order initial-value problem into a system of first-order initial value problems. y'' + 7y' + 2y = e^(3x) y'(0)=1 y''(0)=1