Differential Equations, 5 cr

Core content

• Basic notions of differential equations
• 1st order differential equations: basic theory, solving and analysing separable, exact and linear equations.
• Higher order linear differential equations. The space of solutions and solving equations with constant coefficients.
• General theory of differential equations. Picard's iteration.
• Systems of ordinary differential equations, methods of solving the systems, analysing the solutions.
• Modelling simple phenomena with differential equations.

Additional content

• Numerical methods
• Proofs of solution methods
• Existence and uniqueness of solutions, the dependence from boundary values.
• Existence and uniqueness of solutions for systems of differential equations