given the differential equation, We have to find approximate solution using Taylor series method. d2y / dx2 + Sin(y) = 0 ; y(0)=0 , y'(0) = y1 do only by Taylor series method
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This is a differential equation:
the '2' is not a square, it represents the second derivative..
given the differential equation, We have to find approximate solution using Taylor series method.
d2y / dx2 + Sin(y) = 0 ; y(0)=0 , y'(0) = y1
do only by Taylor series method
explain the solution, and the conditions under which it is correct.. Solve it step by step.
note: you can assume some values for y1 but the solution should be generalized.
The taylor series for the solution of differential equation.
The first term of the taylor series
For the second term of the taylor series, y’ (0) = y1. Therefore,
For the third term of the taylor series,
Therefore,
Step by step
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