Differential Equation

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #191

Solve: `(e^y+1)cosx\ dx+e^y\sinx\ dy=0`
Ans: `|sinx|(e^y+1)=|c|`
SEE SOLUTION

Question No: #192

Solve: `xy\frac{dy}{dx}=\frac{1+y^2}{1+x^2}(1+x+x^2)`
Ans: `log(1+y^2)=2\tan^{-1}x+\logx^2+c`
SEE SOLUTION

Question No: #193

Solve: `cosy\log(secx+tanx)\ dx=cosx\log(secy+tany)\ dy`
Ans: `[\log(\secx+\tanx)]^2-[\log(\secy+\tany)]^2=c`
SEE SOLUTION