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`(dy)/(dx)=1-1/x^(2)` <br> `y=x+1/x+c` <br> `7/2=2+1/2+c implies c=1` <br> `y=x+1/x +1` <br> `implies xy=x^(2) +x+1` **What is differential equation and order and degree of a differential equation**

**Linear and nonlinear differential equation**

**General form of 1st order and 1st degree differential equation; geometrical interpretation and the solution**

**Solve: `dy / dx = sin^3x cos^2x + x e^x`**

**Differential Equations of the type `dy / dx = f(y)`**

**Solve: `dy / dx = sin^2y`**

**Formation Of Differential Equations**

**Form the differential equation of the family of curves represented `c(y + c)^2 = x^3`, where c is a parameter.**

**Find the differential equation that represents the family of all parabolas having their axis of symmetry with the x-axis.**

**Solution; general solution and particular solution**