Question

Differential Equations (a) Write the function x(t)=−2cos(4t)+5sin(4t)x(t)=−2cos(4t)+5sin(4t) in the form x(t)=Acos(ωt−ϕ)x(t)=Acos⁡(ωt−ϕ). x(t)=   (b) Write the function...

Differential Equations

(a) Write the function x(t)=−2cos(4t)+5sin(4t)x(t)=−2cos(4t)+5sin(4t) in the form x(t)=Acos(ωt−ϕ)x(t)=Acos⁡(ωt−ϕ).

x(t)=  

(b) Write the function x(t)=2cos(4t)+5sin(4t)x(t)=2cos(4t)+5sin(4t) in the form x(t)=Acos(ωt−ϕ)x(t)=Acos⁡(ωt−ϕ).

x(t)=  


(c) Write x(t)=e−3t(−2cos(4t)+5sin(4t))x(t)=e−3t(−2cos(4t)+5sin(4t)) in the form y(t)=Aeαtcos(ωt−ϕ)y(t)=Aeαtcos⁡(ωt−ϕ).

x(t)=

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
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the...
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the following. Do not solve. (a) f(t)= 5t*e^(-2t) (b) f(t)= t^2*sin(2t) (c) f(t)= t + 1 (d) f(t)= 2t^2*e^(-3t) (e) f(t)= 4t^2+3t
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the...
Consider the differential equation y”+5y’+6y=f(t). Write the form of the particular solution if f(t) is the following. Do not solve. (a) f(t)= 5t*e^(-2t) (b) f(t)= t^2*sin(2t) (c) f(t)= t + 1 (d) f(t)= 2t^2*e^(-3t) (e) f(t)= 4t^2+3t
Solve the given system of differential equations by systematic elimination. Dx + D^2y = e^4t (D...
Solve the given system of differential equations by systematic elimination. Dx + D^2y = e^4t (D + 1)x + (D − 1)y = 2e^4t (x(t), y(t)) = Incorrect: Your answer is incorrect.
Solve the equation and write its general solution. a) 2Cos x + √3 = 0 b)...
Solve the equation and write its general solution. a) 2Cos x + √3 = 0 b) 5Sin x = 10
Write these equations in explicit form: x' = x^(2) - t^(2) y' = sin(y) mr' +...
Write these equations in explicit form: x' = x^(2) - t^(2) y' = sin(y) mr' + rm + e^(m+r) = 0
(* Problem 3 *) (* Consider differential equations of the form a(x) + b(x)dy /dx=0 *)...
(* Problem 3 *) (* Consider differential equations of the form a(x) + b(x)dy /dx=0 *) \ (* Use mathematica to determin if they are in Exact form or not. If they are, use CountourPlot to graph the different solution curves 3.a 3x^2+y + (x+3y^2)dy /dx=0 3.b cos(x) + sin(x) dy /dx=0 3.c y e^xy+ x e^xydy/dx=0
Write these equations in explicit form x' = x^(2) - t^(2) y' = sin(y) mr' +...
Write these equations in explicit form x' = x^(2) - t^(2) y' = sin(y) mr' + rm + e^(m+r) = 0 Thanks in advance!
For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3 i)...
For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3 i) Write the positive vector tangent of the curve with parametric equations above. ii) Find the length function s(t) for the curve. iii) Write the position vector of s and verify by differentiation that this position vector in terms of s is a unit tangent to the curve.
Eliminate the parameter to find a Cartesian equation of the curves: a) x=3t+2,y=2t−3 b) x=21​sin(t)−3,y=2cos(t)+5
Eliminate the parameter to find a Cartesian equation of the curves: a) x=3t+2,y=2t−3 b) x=21​sin(t)−3,y=2cos(t)+5
You found a particular solution to y''+2y'+5y=e^(2t) by guessing a function based on the form of...
You found a particular solution to y''+2y'+5y=e^(2t) by guessing a function based on the form of the nonhomogeneous term. Use the same approach to find particular solutions to the equations below. 6. y''+y'+5y=5sin(3t) + e^(2t)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT