Classifying ODEs: Order and Linearity (Differential Equations)
Free printable university Differential Equations worksheet on classifying ordinary differential equations by order and by linearity, the opening vocabulary of any first ODE course.
✓ Answer key checked by math, never wrong
Differential Equations · Math worksheet
Name
Date
Math
Classifying ODEs: Order and Linearity
For each differential equation, state its order (the highest derivative that appears) and whether it is linear or nonlinear in the unknown function y.
Word bank
Order 1, linearOrder 2, linearOrder 3, linearOrder 1, nonlinearOrder 2, nonlinearOrder 3, nonlinear
- 1.y″ + 2(y′)² = 0
- 2.y‴ - 3y″ + y =
- 3.y′ + 4y = 4x
- 4.x·y′ - 6y = x³
- 5.y′ = y² + 4x
- 6.y′ = - 4x
- 7.dy/dx = 5x + 5
- 8.y″ + 3x·y′ - y = cos(x)
- 9.y·y′ = 3x
- 10.y‴ + y·y″ = 2x
- 11.y″ + 6sin(y) = 0
- 12.y″ + 2y′ + 2y = 0
Made with ChalkBee · chalkbee.com