Find a particular solution: x(x^2-1) dy/dx=1;y=0, when x=2..........Ex 9.3 Q12

Class XII Differential Equations Ex 9.3 Q12 Find a particular solution: x(x^2-1) dy/dx=1;y=0, when x=2 Previous Videos related to this chapter are mentioned in the below link: Introduction:    • INTRODUCTION TO DIFFERENTIAL EQUATIONS   Q6 | i):    • Q6 | i) Determine the order and degree of ...   Q6 | ii):    • Q6 | ii) Determine the order and degree of...   Q6 | iii):    • Q6 | iii) Determine the order and degree o...   Q: Find order & degree of y=1+dy/dx+(dy/dx)^2/2!+(dy/dx)^3/3!+⋯:    • Q: Find order & degreey=1+dy/dx+(dy/dx)^2/...   (Example 2) Q8:    • Q8: Verify that the function y = 𝑒^(−3𝑥) i...   (Example 3) Q9:    • Q9: Verify that the function y = a cos x +...      • The population of a village increases cont...   9.6 | Q16: Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x, y) is equal to the sum of the coordinates of the point.:    • Find the equation of a curve passing throu...   9.7 | Q17: Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.:    • Find the equation of a curve passing throu...   Example 14: In a bank, principal increases continuously at the rate of 5% per year. In how many years Rs 1000 double itself?:    • In a bank, principal increases continuousl...   Example 12: Find the equation of the curve passing through the point (1, 1) whose differential equation is x dy=(2x^2+1)dx (x≠0).:    • Find the equation of the curve passing thr...   9.4 | Q01: Find the general solution: dy/dx=(1-cos⁡x)/(1+cos⁡x ):    • Find the general solution: dy/dx=(1-cos⁡x)...   9.4 | Q04: Find the general solution: sec^2⁡x tan⁡x dx+sec^2⁡y tan⁡x dy=0:    • Find the general solution: sec^2⁡x  tan⁡x ...   9.4 | Q07: Find the general solution: y log⁡y dx-x dy=0:    • Find the general solution: y log⁡y dx-x dy=0   9.4 | Q10: Find the general solution: e^x tan⁡y dx+(1-e^x ) sec^2⁡y dy=0:    • Find the general solution: e^x  tan⁡y  dx+...   9.4 | Q18: At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (– 4, –3). Find the equation of the curve given that it passes through (–2, 1):    • At any point (x, y) of a curve, the slope ...   9.4 | Q22: In a culture, the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present?:    • In a culture, the bacteria count is 1,00,0...   Ex 9.2 Q1 Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y = ex + 1 : y^''-y^'=0    • Verify that the given functions (explicit ...   Ex 9.2 Q11 The number of arbitrary constants in the general solution of a differential equation of fourth order are:    • The number of arbitrary constants in the g...   (A) 0 (B) 2 (C) 3 (D) 4 Ex 9.2 Q12 The number of arbitrary constants in the particular solution of a differential equation of third order are:    • The number of arbitrary constants in the p...   (A) 3 (B) 2 (C) 1 (D) 0 Ex 9.2 Q7 Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:    • Verify that the given functions (explicit ...   xy =logy+C : y^'=y^2/(1-xy)(xy≠1) Example 7 - Find the equation of the curve passing through the point (1, 1) whose differential equation is x dy = (2x2 + 1) dx (x ≠ 0).    • Find the equation of the curve passing thr...   Example – 9 In a bank, principal increases continuously at the rate of 5% per year. In how many years Rs 1000 double itself    • 12th differential eq  Example   9   Ex – 9.3 Q4 Find the general solution: 〖sec〗^2⁡x tanydx+〖sec〗^2⁡〖y tanxdy=0〗    • Find the general solution:  〖sec〗^2⁡x  tan...   Ex – 9.3 Q22 In a culture, the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present?    • In a culture, the bacteria count is 1,00,0...   #ICSE #Boards #8th #9th #10th #Foundation #Competition #IIT #JEE #Advanced #Mains #NTSE #Olympiads #Exams #Examination #Achiever #Topper #Zenith #ZenithInstituteOfMathematics #InderSir #Ludhiana #ModelGram #BestMathsCoaching #BestTutorials #BestTuition #BestInLudhiana #MathTricks #VIII #IX #X #XI #XII #Important #Excellent #Question #DifferentialEquations #Degreeofadifferentialequation #orderofadifferentialequation #GeneralSolutions #ParticularSolutions #Formationofadifferentialequation #variableseparable #HomogenousDifferentialEquation #LinearDifferentialEquation