Introduction to ODE

A differential equation involving derivatives with respect to a single independent variable is known as

• Ordinary Differential Equation (ODE)

• Partial Differential Equation (PDE)

• None of them

• Both of them

• 0

• 1

• 2

• 3

• 0

• 1

• 2

• 3

• 1

• 2

• 3

• 4

Which of the following differential equations is (are) homogeneous DE?

Which of the following differential equations is nonlinear?

• y'' + (y')^2 = sin(x)
• y'' + (y')^2 = cos(x)
• y'' + y' = sin(x)

Which of the following equation(s) is a PDE?

• option C: u = e^x + e^y
• option A: dy/dx = 3x^2

• option A: u = x^2 + y^2
• option B: ∂u/∂t = ∂^2u/∂x^2

• 1

• 2

• 3

• 4

A differential equation involving only first order derivatives is known as

• First Order Differential Equation (ODE)

• Second Order Differential Equation (ODE)

• None of them

• Both of them

Which of the following equations are not PDEs?

• u = x^2 + y^2

• ∂u/∂t = ∂^2u/∂x^2

• u = e^x + e^y

• u = x^3 + y^3