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GIVEN :–
• Differential equation
TO FIND :–
• General solution = ?
SOLUTION :–
• It's an zero order Homogeneous Differential equation.
• Differentiate with respect to 'x' –
• So that –
• Now Apply integration on both sides –
• We should write this as –
• Here –
• We should write this as –
• We know that –
• So that –
• And –
• Put v² + v + 1 = t :–
• Differentiate with respect to 't' –
• So that –
• Now put the values in eq.(1) –
• Now replace 'v' –