Question

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

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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!
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
Find the solution of the given initial value problem: y " + y = f(t); y(0)...
Find the solution of the given initial value problem: y " + y = f(t); y(0) = 6, y' (0) = 3 where f(t) = 1, 0 ≤ t < π 2 0, π 2 ≤ t < ∞
Find the solution of the initial-value problem. y'' + y = 4 + 3 sin(x), y(0)...
Find the solution of the initial-value problem. y'' + y = 4 + 3 sin(x), y(0) = 7, y'(0) = 1
For problems 3-6, note that if y(t) is a solution of the homogeneous problem, then y(t−t0)...
For problems 3-6, note that if y(t) is a solution of the homogeneous problem, then y(t−t0) is a solution as well, where t0 is a fixed constant. So, for example, the general solution of a problem with complex roots can be expressed as y(x) = c1e µ(t−t0) cos(ω(t − t0)) + c1e µ(t−t0) sin(ω(t − t0)) When initial conditions are given at time t = t0 and not t = 0, expressing the general solution in terms of 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. y"-6y'+9y=0; y(0)=2, y'(0)=3 Given that y1=x2 is a solution to y"+(1/x) y'-(4/x2)...
Solve the initial-value problem. y"-6y'+9y=0; y(0)=2, y'(0)=3 Given that y1=x2 is a solution to y"+(1/x) y'-(4/x2) y=0, find a second, linearly independent solution y2. Find the Laplace transform. L{t2 * tet} Thanks for solving!
solve the given initial value problem dx/dt=7x+y x(0)=1 dt/dt=-6x+2y y(0)=0 the solution is x(t)= and y(t)=
solve the given initial value problem dx/dt=7x+y x(0)=1 dt/dt=-6x+2y y(0)=0 the solution is x(t)= and y(t)=
Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem. y′′+9y={t, 0≤t<1...
Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem. y′′+9y={t, 0≤t<1 1, 1≤t<∞, y(0)=3, y′(0)=4 Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). Y(s)=
Find y(t) solution of the initial value problem 3ty^2y'-6y^3-4t^2=0, y(1)=1, t>0
Find y(t) solution of the initial value problem 3ty^2y'-6y^3-4t^2=0, y(1)=1, t>0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT