To solve the differential equation 4xdx = dy, we first need to separate the variables by moving all terms involving x to one side and all terms involving y to the other side.
4xdx = dy 4xdx = 1*dy
Now, we integrate both sides:
∫4x dx = ∫dy 4∫x dx = ∫dy 4(x^2/2) = y + C 2x^2 = y + C
Therefore, the solution to the differential equation is y = 2x^2 - C, where C is the constant of integration.
To solve the differential equation 4xdx = dy, we first need to separate the variables by moving all terms involving x to one side and all terms involving y to the other side.
4xdx = dy
4xdx = 1*dy
Now, we integrate both sides:
∫4x dx = ∫dy
4∫x dx = ∫dy
4(x^2/2) = y + C
2x^2 = y + C
Therefore, the solution to the differential equation is y = 2x^2 - C, where C is the constant of integration.