Welcome To Class : XII Subject : Maths Chapter : 10 Chapter : Ordinary Differential Equations IMPORTANT QUESTIONS 2 & 3 Marks Questions 1. Determine the order and degree (of exists) of the following differential equations: i) dy+(xy–cosx)dx = 0 ii) x = e^[xy ( dx / dy)] 2. Show that each of the following expressions is a solutions if the corresponding given differential equation y =2x², xy¹ = 2y. 3. Find the value of m so that the function y = emx is a solution of the given differential equation i) y¹+2y = 0 ii) y¹¹– 5y¹ + 6y = 0 4. Show that x²+y²=r², where r is a constant , is a solution of the differential equation (dy/dx) = (-x/y). 5. Show that y= ax+b/x , x≠ 0 is a solution of the differential equation x²y¹¹ + xy¹ – y =0. 6. Solve (1 + x²)dy/dx = 1 + y². 7. Solve the following differential equation ydx+(1+x²)tan-¹ xdy = 0. 5 Mark Questions 1. Solve ( x²...
