Calculus, EXT1 C3 EQ-Bank 12 Solve the differential equation `dy/dx=2x^2-3x` given that when `x=3`, `y=-1`. (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only `y=2/3x^3-3/2x^2-11/2` Show Worked Solution `dy/dx` `=2x^2-3x` `1\ dy` `=2x^2-3x\ dx` `int1\ dy` `=int2x^2-3x\ dx` `y` `=2/3x^3-3/2x^2+c` `text{When}\ \ x=3,\ y=-1:` `-1` `=2/3 3^3-3/2 3^2+c` `c` `=-11/2` `:.y=2/3x^3-3/2x^2-11/2`