Use the initial condition to find the particular solution of the differential equation. 
, 
when 
Definitions:
Irresistible Impulse Test
A legal test for insanity that holds people to be insane at the time they committed a crime if they were driven to do so by an uncontrollable “fit of passion.”
Durham Test
A legal test for insanity that holds people to be insane at the time they committed a crime if their act was the result of a mental disorder or defect.
American Law Institute Test
A legal test for insanity that holds people to be insane at the time of committing a crime if, because of a mental disorder, they did not know right from wrong or could not resist an uncontrollable impulse to act.
M'Naghten Rule
A standard for determining the insanity of a defendant in a criminal case, based on their ability to understand the nature of their act or distinguish right from wrong.
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