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Interactive Grade 12 Maths Differential Equations Test — Differential Equations Practice

1.

Newton's Law of Cooling: dT/dt = k(T - Tₑ). This is ___

A.A separable ODEB.A non-linear ODEC.A partial differential equationD.Not an ODE

2.

Separation of variables: dy/dx = x/y means ___

A.y dy = x dxB.dy/y = dx/xC.y dx = x dyD.dy = dx

3.

Which of these is a first-order ODE?

A.dy/dx + y = xB.d²y/dx² = yC.y'' + y' = 0D.∂²u/∂x² = 0