Question

talors serious mathod
dy/dx=x²+y²​

Answer 1

Answer:

Yes. It is true.

See the diagram. That is the graph of y(x) for which:

y '(x) = x² + y², y(x=0) = 0

Solution:

y(x) = x³/3 + x⁷/(3²*7) + 2 x¹¹/(3²*7*11*3)

+ 13 x¹⁵/(3²*7*11*3*15*49) + 166 x¹⁹ /(3²*7*11*3*19*15*49*3)+..