Solve the differential equation below, given the initial condition f(0) = 3.
Express your answer using words or symbols.
y=-5x^2
To solve the differential equation, we need to find the function y(x) that satisfies the equation y = -5x^2.
However, this equation does not explicitly involve differentiation. A differential equation typically involves the derivative of a function. In this case, we can consider y(x) as a constant function of x, meaning its derivative with respect to x is zero.
So, if y = -5x^2, then y'(x) = 0.
Now, let's apply the initial condition f(0) = 3. Since y(x) is a constant function, we can substitute x = 0 into our given equation: -5(0)^2 = y(0).
Simplifying this, we have 0 = y(0).
From this, we can deduce that y is equal to any constant value. Therefore, the solution to the given differential equation is y(x) = C, where C is any constant.
In this case, since y = -5x^2 is the given equation and it satisfies y(0) = 3, we can conclude that the solution to the differential equation with the initial condition is y(x) = -5x^2.