Question

Solve a differential equation x.x.x.dt+cosect.dx=0

Answer 1

${x}^{3} dt + cosect \: dx \\ 1 \div cosectdt = {x}^{ - 3} dx \\ itnregation \: onboth \:side \\ \\ ln(sintdt ) = ln {x}^{ - 3} dx \: + c \\ - cost \: = 1 \div 2 {x}^{2} + c$
this is your answer. check it.