Tutorial Exercise Find the particular solution of the differential equation that satisfies the initial condition(s). f"(x) = x-3/2, f'(4) = 6, f(0) = 0 Step 1 To solve the differential equation, integrate Step 2 Obtain the integral on both sides. | F"(x f"(x) dx = x00x dx f'(x) = -2x x + C P integrate both sides with respect to x X

Find the particular solution of the differential equation that satisfies the initial condition(s). f(x)=x3/2,f(4)=6,f(0)=0 Step 1 To solve the differential equation, both sides with respect to Step 2 Obtain the integral on both sides. f(x)dxf(x)=xdx=2x+C1=+C1x