Edexcel A Level Maths: Pure

Revision Notes

8.3.1 General Solutions

A Level Only

What is a differential equation?

Notes des_egs, AS & A Level Maths revision notes


  • Any equation, involving a derivative term, is a differential equation
  • Equations involving only first derivative terms are called first order differential equations
  • Equations involving second derivative terms are called second order differential equations

What is a general solution?

Notes des_gen_sol, AS & A Level Maths revision notes


  • Integration will be involved in solving the differential equation
    • ie working back to “y = f(x)
  • A constant of integration, c is produced
  • This gives an infinite number of solutions to the differential equation, each of the form y = g(x) + c  (ie  y = f(x)  where  f(x) = g(x) + c)
  • These are often called a family of solutions
    • … and the solution y= g(x) + c is called the general solution


Notes des_geb_sol_eg, AS & A Level Maths revision notes

A Level Only

Worked Example

Example soltn, AS & A Level Maths revision notes


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