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.

## Questions by Sun from Los Angeles, CA

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

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

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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...

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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...

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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...

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Solve the differential equation y"+y'=e^t. Please show all your work step by step and tell me the right answer.

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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...

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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...

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

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Use 3-digit arithmetic with no pivoting to solve the following system: 10-3x-y=1, x+y=0. The book says the answer is (0, -1). Please show all your work step by...

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Use Gaussian elimination with back substitution to solve the following system: x1+x2+x3=1, x1+2x2+2x3=1, x1+2x2+3x3=1. The answer is (1,...

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Can anyone please recommend me a good textbook for Linear Algebra that has lots of practice problems and less theoretical problems?

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Can you please recommend me a good textbook for the course "Complex Variables with Applications"?

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Is the course "Complex Variables with Applications" the course taken after Differential Equations? What does this course cover? Is this course applied or pure math? Can someone recommend...

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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...

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

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Write a python program to find the 1000th prime number. Here's what I wrote: def nthprime(n): print nthprime(1000) and when I run it,...

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Write a python program that finds all of the prime numbers between 1 and 100. This is what I wrote: print [n for n in xrange(1, 100) if n%n==0] and it gave me a bunch...

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Write a program which will find all numbers that are divisible by 7 but are not a multiple of 5, between 2000 and 3200 (both included). The numbers obtained should be printed in a comma-separated...