Like Tony Stark
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- Apr 19, 2020
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Hi, I'm asked if the solutions [MATH]y[/MATH] tend to infinity when [MATH]x[/MATH] tends to 0.
I've tried to solve it using the Frobenius Method, from which I got that the roots of the inditial equation are [MATH]r_1=r_2=0[/MATH]From this, I know that the solution that I get after replacing [MATH]r_1=0[/MATH] in the power series is always 0 when [MATH]x[/MATH] tends to 0.
So, this is enough to say that the answer to the question is negative. Right?
I've tried to solve it using the Frobenius Method, from which I got that the roots of the inditial equation are [MATH]r_1=r_2=0[/MATH]From this, I know that the solution that I get after replacing [MATH]r_1=0[/MATH] in the power series is always 0 when [MATH]x[/MATH] tends to 0.
So, this is enough to say that the answer to the question is negative. Right?