Linked from

The 12 pages that link to Linear differential equation, each with the reason it gives.

• Differential equationBroader topic: Linearity separates a tractable class from nonlinear equations.

• Ordinary differential equationBroader topic: Linearity enables superposition and systematic solution methods.

• Superposition principleBroader topic: Its solution set is closed under addition when the equation is homogeneous.

• Jordan normal formRelated: Jordan form yields explicit solutions for constant-coefficient systems x′ = Ax.

• Linear operatorRelated: Such equations are often formulated using operators acting on functions.

• Matrix exponentialNarrower topic: Constant-coefficient systems are solved directly using the matrix exponential.

• Eigenvalue problemRelated: Many continuous eigenvalue problems arise from linear differential equations.

• Floquet theoryNarrower topic: Floquet theory applies to linear systems whose coefficients vary periodically.

• Jordan decompositionRelated: For constant-coefficient systems, the decomposition clarifies exponential growth and polynomial factors in solutions.

• Integrating factorNarrower topic: The familiar first-order integrating-factor formula is one instance of a broader linear-equation method.

• Exponential integralNarrower topic: Integrating-factor solutions can produce Ei when an exponential is divided by its argument.

• Grothendieck–Katz p-curvature conjectureNarrower topic: The conjecture concerns the monodromy of these equations over number fields.