a)
The general solution of the partial differential equation.
b)
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In part b), the solution states F(x)+G(0)=6x^2. The G(0) is equal to the specific number. If F(x)=6x^2, then G(0)=0. If G(0)=a, where a is not equal to zero, then F(x)=6x^2-a. Nevertheless, this choice does not change the final expression of the particular solution.
Is G(0) equal to 0 because there is no y term on the other side of the equation? ( 2nd line of part b)
The position of 6 was not specified in the comment.
Should the 6 be positive?
Comments
In part b), the solution states F(x)+G(0)=6x^2. The G(0) is equal to the specific number. If F(x)=6x^2, then G(0)=0. If G(0)=a, where a is not equal to zero, then F(x)=6x^2-a. Nevertheless, this choice does not change the final expression of the particular solution.
Is G(0) equal to 0 because there is no y term on the other side of the equation? ( 2nd line of part b)
The position of 6 was not specified in the comment.
Should the 6 be positive?