Solve the following differential equations

$\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{t}}=h^2\frac{de{l}^2}{del{x}^2}$

$if$ you know that

$(i),=0,at,=60,x=0\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{x}}=0x=100,t=0,0$

$(ii),=60,at,x=0$

$(iii)\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{x}}=0,atx=100$