Hi all,

I have started on differential equations today and need some help (as usual).

From what i have read so far.

The solution to a differential equation will be another function or differential equation.

For example the slope of a curve is a differential equation. The solution of this differential equation will actually give you the curve of the function or the equation of the function itself.

Now i have this problem to solve.

*"find the curve whose slope at any point (x,y) is equal to 5y and which passes through the point (1,-2)".*
Now the slope is given as 5y;

Now this is a differential equation in itself and the solution to the differential equation will give me the curve of the function itself.

rearranging the slope term

multiply across by dx:

To solve the differential equation i need to integrate both sides;