Recent content by quietriot1006

I still don't see it. How does the derivative factor into it?

Homework Statement Find a function of y whose square plus the square of its derivative is 1. i.e. (y^2)+(y')^2=1 and carry out your ideas. Homework Equations The Attempt at a Solution Can anyone just help me out with this one. Kinda confused by the questioning. Just point...

Cool! i think i got it. y(t)=(-1/13)cos(5t)+(25/13)sin(5t)+(1/13)e^t Is this right?

Yes I should. Because of the minus from the initial problem. Thanks for that one. So C=(1/13) with no minus sign. What about the rest? What number can I choose for s that will cause (s^2+25) to equal zero and then to get A and B?

I messed up the first problem, there is no t after cos. This is how the problem is written. y'-y=2cos(5t) , y(0)=0 Here is my work from the beginning: sY(s)-0+Y(s)=(2s)/(s^2+25) Y(s)=(2s)/((s^2+25)(s+1)) 2s=((As+B)(s+1))+(C(s^2+25)) Let s=-1 and then i solve for C which comes...

Homework Statement I need to use the Laplace transformations to solve this IVP y'-y=2cost(5t) , y(0)=0 Homework Equations The Attempt at a Solution I separated the question until the point Y(s)=(2s)/(s^2+25)(s+1) and then 2s=A(s+1)+B(s^2+25) I get the...

wouldn't the derivative of f(t)=e^at be just (1/a)e^at? I am not really sure and i don't understand how you were able to square the equation?

Wouldnt that just be a'(t)e^at?

Homework Statement A circular loop made from a flexible, conducting wire is shrinking. Its radius as a function of time is . The loop is perpendicular to a steady, uniform magnetic field B . Find an expression for the induced ε in the loop at time t. Give your answer in terms of , , t, B and...

I keep getting the same asnwer, -127 V/M and its not the right answer. What else can i do?

Thanks for the welcome. I am still not getting the answer. Maybe I am doing the chain rule incorrectly. What would i use for u or g(x) and h(x)?

Homework Statement Two 5.0mm*5.0mm electrodes with a 0.10mm thick sheet of Mylar between them are attached to a 9.0 V battery. Without disconnecting the battery, the Mylar is withdrawn. (Very small spacers keep the electrode separation unchanged.) Dielectric constant for Mylar is k=3.1. What...

Homework Statement The electric potential in a region of space is , where x and y are in meters. What is the strength of the electric field at (x,y)=(2.1m,2.7m)? The electric force is in V/m. Homework Equations E = -grad(V) E = -dV/ds The Attempt at a Solution I know that i...

Homework Statement Hello, I was given this problem as a homework assigment. Each capacitor in the figure has capacitance C. What is the equivalent capacitance between points a and b? The answer is given in "C_eq/C" Homework Equations I used the...