Verify by direct substitution that the given power series is a particular solution of the indicated differential equation. a. y = sigma^infinity_n = 0 (-1)^n/n! x^2n, y' + 2xy = 0
b. y = sigma^infinity_n = 0 (-1)^n x^2n, (1 + x^2)y' + 2xy = 0
c. y = sigma^infinity_n = 1 (-1)^n + 1/n x^n, (x + 1)y" + y' = 0
d. y = sigma^infinity_n = 0 (-1)^n/2^2n (n!)^2 x^2n, xy" + y' + xy = 0

Chemistry balance then what type of reaction are they i don't know why it keeps saying math when i put chem

Write an introductory paragraph for this corrie ten boom and her family were faced with some difficult choices after hitler came to power. some family members paid the ultimate price. write a carefully thought-out paper of at least 200 words dealing with the following concepts: --how should a christian act when evil is in power? --what do you think it would be like to live in an occupied country? remember to proofread anything you write thoroughly.

Someone me! if you’re smart you can solve this!