In Exercises $30-37$ solve the initial value problem.

$30.(x-1)y^{\text{'}}+3y=\frac{1}{(x-1{)}^3}+\frac{sinx}{(x-1{)}^2},y(0)=1$

$31.x{y}^{\text{'}}+2y=8x^2,y(1)=3$

$32.x{y}^{\text{'}}-2y=-x^2,y(1)=1$

$33.y^{\text{'}}+2xy=x,y(0)=3$

$34.(x-1)y^{\text{'}}+3y=\frac{1+(x-1)se{c}^{2}x}{(x-1{)}^3},y(0)=-1$

$35.(x+2)y^{\text{'}}+4y=\frac{1+2x^2}{x(x+2{)}^3},y(-1)=2$

$36.(x^2-1)y^{\text{'}}-2xy=x(x^2-1),y(0)=4$

$37.(x^2-5)y^{\text{'}}-2xy=-2x(x^2-5),y(2)=7$