Find $an$ explicit solution $of$ the given initial$-$value problem. $do$ questions $23-28$

$In$ Problems $23-28$ find $an$ explicit solution $of$ the given

initial$-$value problem.

$23.$

$\frac{dx}{dt}=4(x^2+1),x(\frac{}{4})=1$

$24.$

$\frac{dy}{dx}=\frac{y^2-1}{x^2-1},y(2)=2$

$25.$

$x^2\frac{dy}{dx}=y-xy,y(-1)=-1$

$26.$

$\frac{dy}{dt}+2y=1,y(0)=\frac{5}{2}$

$27.$

$\sqrt[\phantom{2}]{1-y^2}dx-\sqrt[\phantom{2}]{1-x^2}dy=0,y(0)=\frac{\sqrt[\phantom{2}]{3}}{2}$

$28.$

$(1+x^4)dy+x(1+4y^2)dx=0,y(1)=0$