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Questions by Sun from Los Angeles, CA

Find the general solution of y'+(2x/(1+x^2))y=e^(-x)/(1+x^2).   Answer: y=-(e^(-x)+C)/(1+x^2)   Please show all your work step by step.

Find the general solution of xy'+(ln x)y=0.   Answer: y=ce^(-(ln x)^2)/2   Please show all your work step by step. And tell me the input on Ti-89 for this problem to...

Solve the initial-value problem y'''=(x^2)(e^x), y(0)=1, y'(0)=-2, y"(0)=3.    Answer: y=(x^2-6x+12)e^x+x^2/2-8x-11   Please show all your work step by...

Solve the differential equation y"+y'=e^t.    Please show all your work step by step and tell me the right answer. Also tell me how to find the answer for this problem on...

Find the limit of y(t) as t approaches infinity for the initial value problem   y'=sin(y(t)), y(0)=pi/2.   The answer is pi. Please show all your work step by step. Thanks...

Use exact arithmetic to solve the following system:   10-3x-y=1, x+y=0.   The book says the answer is (1/1.001, -1/1.001). Please show all your work step by step...

Is "Advanced Math for Engineers" a course taken after Differential Equations for engineering students at college? What does this course cover? Is it useful for computer programmers? Can...

Write a python program that finds the value of pi to 20 decimal places.    Please provide me the shortest code as possible. Thanks.