Engineering Mathematics Notes
To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW `(1x^2)dy/dx=1y^2`Misc 14 Find a particular solution of the differential equation (𝑥1) 𝑑𝑦/𝑑𝑥=2 𝑒^(−𝑦)−1 , given that 𝑦=0 when 𝑥=0 (𝑥1) 𝑑𝑦/𝑑𝑥=2𝑒^(−𝑦)−1 The variables are separable 𝑑𝑦/(2𝑒^( −𝑦 ) − 1) = 𝑑𝑥/(𝑥 1) Integrating both sides ∫1 𝑑𝑦/(2𝑒^(−𝑦) − 1) = ∫1 𝑑𝑥/(𝑥 1) ∫1 𝑑𝑦/(2/𝑒^𝑦 − 1