Solve: 𝒙(𝟏+𝒚^𝟐 )𝒅𝒙−𝒚(𝟏+𝒙^𝟐 )𝒅𝒚=𝟎, given that 𝒚=𝟎, when 𝒙=𝟏.

Class XII Differential Equations Q151: Solve: 𝒙(𝟏+𝒚^𝟐 )𝒅𝒙−𝒚(𝟏+𝒙^𝟐 )𝒅𝒚=𝟎, given that 𝒚=𝟎, when 𝒙=𝟏. 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 +...   (9.2 Q4) Q14:    • Q14: Verify that the given functions (expl...   (9.2 Q6) Q16:    • Q16: Verify that the given functions (expl...   (9.2 Q8) Q18:    • Q18: Verify that the given functions (expl...   Q30:    • Q30: Show that the function y = A cos 2x –...   CONCEPT: FORMING EQUATION OF A CURVE FROM GIVEN DIFFERENTIAL EQUATION:    • CONCEPT: FORMING EQUATION OF A CURVE FROM ...   Q41:    • Q41: Verify that the given functions (expl...   CNCEPT: FORMATION OF A DIFFERENTIAL EQUATION:    • CNCEPT: FORMATION OF A DIFFERENTIAL EQUATION   Q94:    • Q94: Find the general solution of the diff...   Q104:    • Q104: Find the general solution of the dif...   Q97:    • Q97: Find the general solution of the diff...   Q105:    • Q105: Find the general solution of the dif...   Q106:    • Q106: Find the general solution of the dif...   Q108:    • Q108: Find the general solution of the dif...   Q114:    • Q114: Find the general solution of the dif...   Q145:    • Q145: Find a particular solution satisfyin...   Q151:    • Q151: Solve: 𝒙(𝟏+𝒚^𝟐 )𝒅𝒙−𝒚(𝟏+𝒙^𝟐 )𝒅𝒚=𝟎, gi...   Q147:    • Q147: Find a particular solution satisfyin...   Q157:    • Q157: Find the particular solution of diff...   Q179:    • Q179: Find the equation of a curve passing...   CONCEPT: HOMOGENOUS DIFFERENTIAL EQUATIONS:    • CONCEPT: HOMOGENOUS DIFFERENTIAL EQUATIONS   Example 17 | Show that the differential equation 2ye^(x/y) dx+(y-2xe^(x/y) )dy=0 is homogeneous and find its particular solution, given that, x=0 when y=1:    • Show that the differential equation 2𝑦𝑒^(𝑥...   Example 18 | Show that the family of curves for which the slope of the tangent at any point (x, y) on it is (x^2+y^2)/2xy, is given by x^2-y^2=cx:    • Show that the family of curves for which t...   Example 19 | Q: Find the general solution of the differential equation dy/dx-y=cos⁡x:    • Find the general solution of the different...   Example 22 | Find the particular solution of the differential equation dy/dx+y cot⁡x=2x+x^2 cot⁡x (x≠0) given that y=0 when x=π/2:    • Find the particular solution of the differ...   Example 23 | Q: Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point:    • Find the equation of a curve passing throu...   9.5 | Q4: Show that the given differential equation is homogeneous and solve it: (x^2-y^2 )dx+2xy dy=0:    • Show that the given differential equation ...   9.5 | Q6: Q197: x dy-y dx=√(x^2+y^2 ) dx:    • 𝒙 𝒅𝒚−𝒚 𝒅𝒙=√(𝒙^𝟐+𝒚^𝟐 ) 𝒅𝒙   CONCEPT: LINEAR DIFFERENTIAL EQUATIONS:    • CONCEPT:LINEAR DIFFERENTIAL EQUATIONS   Example 15:    • Show that the differential equation (𝑥 – 𝑦...   Example 9: Q94: Find the general solution of the differential equation dy/dx=(x+1)/(2-y),(y≠2).:    • Find the general solution of the different...   Q104: Find the general solution of the differential equation dy/dx=1+x+y+xy given that y=0 when x=1:    • Find the general solution of the different...   Q97: Find the general solution of the differential equation dy/dx=(1+y^2)/(1+x^2 ).:    • Find the general solution of the different...   Q105: Find the general solution of the differential equation y-x dy/dx=a(y^2+dy/dx).:    • Find the general solution of the different...   Q106: Find the general solution of the differential equation: (x^2-〖yx〗^2 )dy+(y^2+x^2 y^2 )dx=0.:    • Find the general solution of the different...   Q108: Find the general solution of the differential equation:    • Find the general solution of the different...   √(a+x) dy+x dx=0 Q114: Find the general solution of the differential equation:    • Find the general solution of the different...   √(1+x^2+y^2+x^2 y^2 )+xy dy/dx=0 Q145: Find a particular solution satisfying the given condition: dy/dx = – 4xy2 given that y = 1, when x = 0:    • Find a particular solution satisfying the ...   #CBSE #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