Specify independent variable in differential equation?

Questions
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1

Hi everyone, could you help me to find the statement to specify the independent variable when I solve a differential equation (step-by-step solution)?
So far I tried the following statements to specify “t” as independent variable:

WolframAlpha["x'(t)+x(t)=Sqrt[(sin(w*t))^2] and x(0)=0", 
 PodStates -> {"Step-by-step solution"}]

WolframAlpha["x'+x=Sqrt[(sin(w*t))^2] over t and x(0)=0", 
 PodStates -> {"Step-by-step solution"}]

WolframAlpha["x'(t)+x(t)=Sqrt[(sin(w*t))^2] over t and x(0)=0", 
 PodStates -> {"Step-by-step solution"}]

also with square brackets, but it doen not work (the software considers “w” as independent variable).

Thank you a lot.

2

Sometimes WolframAlpha will understand some Mathematica notation better than struggling trying to find another notation that works

WolframAlpha[“DSolve[{x’[t]+x[t]==Sqrt[Sin[w*t]^2],x[0]==0},x[t],t]”, PodStates → {“Step-by-step solution”}]