ella9288
14.07.2020 •
Mathematics
Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. Solve the original equation by solving the new equation x2y'' + 9xy' - 20y = 0
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Ответ:
Step-by-step explanation:
Hello,
let's follow the advise and proceed with the substitution
first estimate y'(x) and y''(x) in function of y'(t), y''(t) and t
Now we can substitute in the equation
so the new equation is
the auxiliary equation is
so the solutions of the new equation are
with a and b real
as
hope this helps
do not hesitate if you have any questions
Ответ:
11,340
Step-by-step explanation:
5% = 420 420 x 7 = 2940
2940 + 8400 = 11,340