Separable First-Order ODEs (Differential Equations)
Free printable university Differential Equations worksheet on solving separable first-order initial value problems, with full separation-of-variables working and computed answer keys.
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Differential Equations · Math worksheet
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Date
Math
Separable First-Order ODEs
Solve each initial value problem by separating variables. Give an explicit solution y(x).
- 1.dy/dx = 4xy, y(0) = 3
- 2.dy/dx = -4xy, y(0) = 2
- 3.dy/dx = 2y, y(0) = 4
- 4.dy/dx = 4x/y, y(0) = 1
- 5.dy/dx = 4x/y, y(0) = 4
- 6.dy/dx = -2y, y(0) = 6
- 7.dy/dx = 2y², y(0) = 3
- 8.dy/dx = -4xy, y(0) = 4
- 9.dy/dx = 3x/y, y(0) = 2
- 10.dy/dx = -y², y(0) = 4
- 11.dy/dx = y², y(0) = 1
- 12.dy/dx = -4y, y(0) = 3
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