- #1
false_alarm
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I know this looks really easy, but trying to solve this is amazingly difficult. I couldn't do it, i kept getting wrong answers. Any body got any idea how to solve this?
false_alarm said:I know this looks really easy, but trying to solve this is amazingly difficult. I couldn't do it, i kept getting wrong answers. Any body got any idea how to solve this?
false_alarm said:I just used the basic linear form, got an integrating factor, and then just took the antiderivative of what was left
A differential equation is a mathematical equation that relates an unknown function to its derivatives. It involves the use of derivatives to describe the rate of change of a system over time.
The order of a differential equation is determined by the highest order derivative present in the equation. In this case, the order is 1.
The solution to a differential equation is a function that satisfies the equation. In this case, the solution is y = (1/2)x - 1.
A differential equation involves derivatives, while a regular equation does not. It also describes the relationship between a function and its derivatives, rather than just the relationship between variables.
The constant in the solution represents the initial condition of the system. It is determined by the specific problem being solved and can affect the behavior of the solution over time.