Solve the equation (x+1) + (x+4)+ (x+7) + `cdots` + (x+28) = 155.

Solve the equation sinx +cos x=1.

Solve the equation 27x^2-10x+1=0 .

Solve the equation 21x^2-28x+10=0

Solve the inequality 4 x+3 lt 6 x+7

Solve the inequality x/3>x/2+1 .

Solve the inequality 4x+3 lt 7 for real x.

Solve the inequality (2x-1)/3ge(3x-2)/4-(2-x)/5

Consider the differential equation (x^2 -1)(dy)/(dx) + 2 (x + 2) y = 2(x+1) Solve the differential equation.

Solve the differential equation (tan ^-1 y-x) d y=(1+y^2) d x

solve the differential equation (x^2+x y) d y=(x^2+y^2) d x