Practice Questions on Linear Differential Equation
Various problems on linear differential equations,
P1: Solve the linear differential equation: dy/dx + ysin x = sin x
P2: Solve: (x + log y)dy + y dx = 0
P3: Solve: dx/dy + 2xy = e-y
Read More,
Linear Differential Equations
Linear Differential Equations are differential equations where the unknown function and its derivatives appear linearly. In other words, the equation is a linear combination of the function and its derivative, with constant coefficients. Such types of equations have solutions that can be expressed as a sum of particular and homogeneous solutions.
In this article, we will discuss all things linear differential equations, including their order, type, solutions, and applications in various fields of mathematics and science.
Table of Content
- What are Linear Differential Equations?
- Examples of Linear Differential Equations
- Order of Linear Differential Equations
- Formula for General Solution of Linear Differential Equations
- Formula for First-Order Linear ODE
- Formula for Second-Order Linear ODE
- First Order Linear Differential Equations
- Examples of Linear Differential Equations
- How to Solve First-Order Linear Differential Equation?
- Second-Order Linear Differential Equation
- How to Solve Second Order Linear Differential Equation?
- A. For Homogeneous Second Order Linear Differential Equation:
- B. For Non-Homogeneous Second Order Differential Equation:
- Linear Differential Equation Formula
- Non-Linear Differential Equation
- Linear vs Non-Linear Differential Equation
- Homogeneous and Non Homogeneous Linear Differential Equations
- Conclusion
- Examples on Linear Differential Equation
- Practice Questions on Linear Differential Equation