Recent content by DrunkApple

so i can pick any negative integer number for lambda and any integer for C1 and C2?

all i can say is that lambda has to be negative for it to go 0 right?

Homework Statement (attached)Homework Equations The Attempt at a Solution I really don't know where to start. There is nothing given for me to start with. And the instruction says "Choose" so am I really suppose to really choose or do you guys any idea how to start this? *I know that...

Homework Statement Determine the general solution of the system of homogeneous differential equations. The system of homogeneous differential equations is: X'_{1}(t) = 141x_{1}(t) - 44x_{2}(t) X'_{2}(t) = 468x_{1}(t) - 146_{2}(t) What is Eigenvalues of Coefficient Matrix? What is...

Homework Statement A capacitor is constructed from two square metal plates. A dielectric \kappa = 4.61 fills the upper half of the capacitor and a dielectric \kappa = 6.9 fills the lower half of the capacitor. Neglect edge effects. Calculate the capacitance C of the device. Answer in...

Homework Statement Adjust the potentiometer to get V_{0} = 0 V(V_{a} - V_{b}). What is this network called? Homework Equations The Attempt at a Solution I'll be honest. This professor didn't even prepare for the lab and decided to do lab about the potentiometer we didn't even...

wow... can't believe i made that mistake... thank you super hero tim-tim

Homework Statement Determine the solution of the IVP y' + 4ty = 4t, y(0) = 6 Homework Equations The Attempt at a Solution p(t) = 4t g(t) = 4t μ(t) = e^{\int4tdt} = e^{\int p(t)} = e^{\int4tdt} = e^{2t^{2}} is this all I need? because i did \frac{d}{dt}(y * μ(t)) = p(t)...

Homework Statement Find I_{1} in the circuitHomework Equations The Attempt at a Solution I_{1} + 4 mA = 2 mA I_{1} = -2 mA

Homework Statement Find I_{1} in the network Homework Equations The Attempt at a Solution 20 mA = I_{1} + 10 mA I_{1} = 10 mA

ohhh ok i got it ;D would you give me some hints about how to get its maximum value (for 0 ≤ x ≤ 0.309)?

so I use quadratic equation after integrating? 3y + 2y^{2} = sin (2x) + C ??

would you please show me how to do it? because I really have no idea about this. How do I solve for the 2nd order?

I did. dy/dx = 2cos (2x)/(3+2y) (3+2y)dy = 2cos(2x)dx isn't this not it?

Homework Statement Solve the initial value problem y' = 2cos (2x)/(3+2y), y(0) = 1 and determine where the solution attains its maximum value Homework Equations The Attempt at a Solution I got it to here y^{2} + 3y = sin(2x) + C but I don't know what to do from here... Help please