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anonymous
 5 years ago
Second order differential equations:
100(y'')20(y)+y=0. Find general solution.
Please explain how to obtain the general solution.
anonymous
 5 years ago
Second order differential equations: 100(y'')20(y)+y=0. Find general solution. Please explain how to obtain the general solution.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0PLEASE EXPLAIN STEPWISE!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0isnt it 100 y'' 20 y' + y = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok you want a characteristic equation 100 r^2  20r + 1 = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you have a double root, r = 1/10

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If tex2html_wrap_inline96 (which happens if tex2html_wrap_inline98 ), then the general solution is displaymath64

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.sosmath.com/diffeq/second/constantcof/constantcof.html

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the general solution is y = c1 *e^(1/10 x) + c2 *x *e^(1/10 x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is there a way to obtain without memorizing the formula?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there are 3 cases, distinct roots, double roots, and the imaginary roots. its not too bad, there is pattern

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the imaginary case is a little tricky

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can this method also solve differential equations of the form y"=f(x)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how will u proceed after u take y''=f(x)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes it usually makes it easier to reduce the quadratic, except in the case where there are radical linear factors

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0show that the defferential equation y(y^2+2x)+2x(y^2+x)dy/dx=0 is not exact, but that it has an integrating factor of the form u=x^2y^k for some integer k. hence or otherwise find the general solution of this differential equation
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