Question

Let y(t) be the solution of the initial-value problem y'= sin(y)e^(y2+1); y(0) = 1 Calculate limt->INF...

Let y(t) be the solution of the initial-value problem y'= sin(y)e^(y2+1); y(0) = 1

Calculate limt->INF y(t). (Hint: do not attempt to solve the ODE). THE ANSWER IS PI. PLEASE EXPLAIN CAUSE IM CONFUSED!

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the solution to the initial value problem (y′−e−t+5)/y=−5,   y(0)=−4 Discuss the behavior of the solution y(t)y(t)...
Find the solution to the initial value problem (y′−e−t+5)/y=−5,   y(0)=−4 Discuss the behavior of the solution y(t)y(t) as tt becomes large. Does limt→∞y(t)limt→∞y(t) exist? If the limit exists, enter its value. If the limit does not exist, enter DNE.
Find the solution to the initial value problem (y′−e−t+5)/y=−5,   y(0)=−4 Discuss the behavior of the solution y(t)y(t)...
Find the solution to the initial value problem (y′−e−t+5)/y=−5,   y(0)=−4 Discuss the behavior of the solution y(t)y(t) as tt becomes large. Does limt→∞y(t)limt→∞y(t) exist? If the limit exists, enter its value. If the limit does not exist, enter DNE.
Let y = y ( t ) be the solution to the initial value problem   ...
Let y = y ( t ) be the solution to the initial value problem    t d y d t + 2 y = sin ⁡ t , y ( π ) = 0 Find the value of
Solve the following differential equations 1. cos(t)y' - sin(t)y = t^2 2. y' - 2ty =...
Solve the following differential equations 1. cos(t)y' - sin(t)y = t^2 2. y' - 2ty = t Solve the ODE 3. ty' - y = t^3 e^(3t), for t > 0 Compare the number of solutions of the following three initial value problems for the previous ODE 4. (i) y(1) = 1 (ii) y(0) = 1 (iii) y(0) = 0 Solve the IVP, and find the interval of validity of the solution 5. y' + (cot x)y = 5e^(cos x),...
Find continuous solution to following initial value problem: y"+y= pi e^(pi-t) if t > pi where...
Find continuous solution to following initial value problem: y"+y= pi e^(pi-t) if t > pi where y(0)=0 and y'(0)=1
Choose C so that y(t) = −1/(t + C) is a solution to the initial value...
Choose C so that y(t) = −1/(t + C) is a solution to the initial value problem y' = y2 y(2) = 3. Verify that the given formula is a solution to the initial value problem. x′ = −y, y′ = x, x(0) = 1, y(0) = 0: x(t) = cost, y(t) = sin t
Let be the problem with initial value f(t,y) = yt3   , y(0)=1 Write the general formula...
Let be the problem with initial value f(t,y) = yt3   , y(0)=1 Write the general formula for Picard iterations. Then start with the function y0 (t) = y (0) = 1 and calculate the iterations y1 (t) and y2 (t).
Solve the Initial Value Problem (y2 cos(x) − 3x2y − 2x) dx + (2y sin(x) −...
Solve the Initial Value Problem (y2 cos(x) − 3x2y − 2x) dx + (2y sin(x) − x3 + ln(y)) dy = 0,    y(0) = e
For 2y' = -tan(t)(y^2-1) find general solution (solve for y(t)) and solve initial value problem y(0)...
For 2y' = -tan(t)(y^2-1) find general solution (solve for y(t)) and solve initial value problem y(0) = -1/3
y''+4y=sint + u_pi(t)sin(t-pi) y(0)=1 y'(0)=0 find the solution
y''+4y=sint + u_pi(t)sin(t-pi) y(0)=1 y'(0)=0 find the solution