Ex 9.3, 8 - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Variable separation - Equation given
Example 20
Misc 13 (MCQ)
Ex 9.3, 3
Ex 9.3, 8 You are here
Example 4
Ex 9.3, 7 Important
Example 5
Ex 9.3, 6
Ex 9.3, 2
Misc 4
Example 6
Ex 9.3, 5
Ex 9.3, 14
Ex 9.3, 13
Example 7 Important
Ex 9.3, 16
Ex 9.3, 12
Ex 9.3, 11 Important
Ex 9.3, 1 Important
Ex 9.3, 15 Important
Misc 7 Important
Ex 9.3, 4 Important
Ex 9.3, 9 Important
Misc 6
Ex 9.3, 10 Important
Misc 12 Important
Misc 5 Important
Variable separation - Equation given
Last updated at April 16, 2024 by Teachoo
Ex 9.3, 8 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑥^5 𝑑𝑦/𝑑𝑥=−𝑦^5𝑥^5 𝑑𝑦/𝑑𝑥=−𝑦^5 𝒅𝒚/𝒚^𝟓 = (−𝒅𝒙)/𝒙^𝟓 Integrating both sides ∫1▒𝑑𝑦/𝑦^5 = ∫1▒𝑑𝑥/𝑥^5 𝑦^(−5 + 1)/(−5 + 1) = −𝑥^(−5 + 1)/(−5 + 1)+𝐶1 𝒚^(−𝟒)/(−𝟒)= −𝒙^(−𝟒)/(−𝟒) + C1 〖−𝑦〗^(−4)/4=" " 𝑥^(−4)/4 " + C1" −𝑦^(−4)=𝑥^(−4) + 4C1 −𝑦^(−4) = 𝑥^(−4) + C 𝒙^(−𝟒) + 𝒚^(−𝟒)=𝑪