Question

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), y(pi/2) = -4

If you can, please show all steps! I don't understand alot of this.

Math   Advanced-Math   
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
Differential Equations Solve for the IVP ( y2 - 2 sin (2t) )dt + ( 1...
Differential Equations Solve for the IVP ( y2 - 2 sin (2t) )dt + ( 1 + 2ty)dy = 0 y (0)= 1
Solve the following Differential equations a) x sin y dx + (x^2 + 1) cos y...
Solve the following Differential equations a) x sin y dx + (x^2 + 1) cos y dy = 0
1. Solve the following differential equations. (a) dy/dt +(1/t)y = cos(t) +(sin(t)/t) , y(2pie) = 1...
1. Solve the following differential equations. (a) dy/dt +(1/t)y = cos(t) +(sin(t)/t) , y(2pie) = 1 (b)dy/dx = (2x + xy) / (y^2 + 1) (c) dy/dx=(2xy^2 +1) / (2x^3y) (d) dy/dx = y-x-1+(xiy+2) ^(-1) 2. A hollow sphere has a diameter of 8 ft. and is filled half way with water. A circular hole (with a radius of 0.5 in.) is opened at the bottom of the sphere. How long will it take for the sphere to become empty?...
Differential equations Given that x1(t) = cos t is a solution of (sin t)x′′ − 2(cos...
Differential equations Given that x1(t) = cos t is a solution of (sin t)x′′ − 2(cos t)x′ − (sin t)x = 0, find a second linearly independent solution of this equation.
Solve the differential equation (3y^2+2ty)+(2ty+t^2)dy/dt=0
Solve the differential equation (3y^2+2ty)+(2ty+t^2)dy/dt=0
solve the ODE solving for the general solutions y''+y'-12y=sin(t)e^(3t)
solve the ODE solving for the general solutions y''+y'-12y=sin(t)e^(3t)
solve the differential equations by series of potentials: a)y''(t)=ty(t) b)y(t)''+ty(t)'+2y(t)=0
solve the differential equations by series of potentials: a)y''(t)=ty(t) b)y(t)''+ty(t)'+2y(t)=0
(Part 1) Find all of the solutions of the given differential equations: a.) y' = -2y...
(Part 1) Find all of the solutions of the given differential equations: a.) y' = -2y (answer should be y = -(1 / ln2) * ln(t * ln(2) + c)) (Part 2) Find the solution of the IVP: b.) y' = -2y3, y(0) = 0 c.) y' = 1 + cos(y), y(0) = pi / 2 (answer should be y(t) = 2arctan(1 + t)) d.) y' = sqrt(1 - y2), y(0) = 0 (Hint: y' > 0) Please show work!
This is a differential equations problem: use variation of parameters to find the general solution to...
This is a differential equations problem: use variation of parameters to find the general solution to the differential equation given that y_1 and y_2 are linearly independent solutions to the corresponding homogeneous equation for t>0. ty"-(t+1)y'+y=18t^3 ,y_1=e^t ,y_2=(t+1) it said the answer to this was C_1e^t + C_2(t+1) - 18t^2(3/2+1/2t) I don't understand how to get this answer at all
In this problem, x = c1 cos t + c2 sin t is a two-parameter family...
In this problem, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. x(π/6) = 1 2 , x'(π/6) = 0 x=
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT