Non Homogeneous Equation-Part 2| Second Order #mathsworldbyritikasharma #advancedmaths #secondorder

In the previous video, we understand about Non-homogeneous Equation. Firstly we understand about the definition or meaning of non-homogeneous Equation. How can we identify the non-homogeneous equation? The equation y” + p(x)y' + q(x)y = g(x) where g(x) is not equal to zero is called the second order non homogeneous differential equation. After that, we understand how to find the solution to the non-homogeneous equation. Step 1: find the solution of the homogeneous part of the given equation that is called the complementary function. Step 2: Find the solution on the Right-hand side of given equation that is particular Integral. Step 3: y(solution)= y(c.f.)+y(p.i.) For Step 2: Solution on the Right-hand side g(x) may be any function exponential, trigonometric, etc We discuss the cases: Case1: Exponential function e^ax Case2: Trignometaric function Sin(ax) or Cos(ax) Case3: Polymonial function In this video, we revise the previous cases and discuss about remaining cases and do some numerical questions to understand the topic in a better way. ________________________________________________________________________ Non Homogenous Equation    • Non Homogeneous Equation| Second Order #ma...   ________________________________________________________________________ Cauchy Euler Equation: https://www.youtube.com/watch?v=MhrvW... ________________________________________________________________________ Homogegnous Equation: https://www.youtube.com/watch?v=n_JfO... Numerical of Homogeneous Equation: https://www.youtube.com/watch?v=pQ9Qh... ________________________________________________________________________ Videos of Second Order Differential Equation: https://www.youtube.com/watch?v=4yoJ1... ________________________________________________________________________ Videos of First Order Differential Equation: Differential Calculus #Part 1: https://www.youtube.com/watch?v=4yoJ1... Differential Calculus #Part 2: https://www.youtube.com/watch?v=nKZFt... Differential Calculus #Part 3: https://www.youtube.com/watch?v=L_X9Q... Differential Calculus #Part 4: https://www.youtube.com/watch?v=ClY62... Differential Calculus #Part 5: https://www.youtube.com/watch?v=QN2zF... Differential Calculus #Part 6: https://www.youtube.com/watch?v=kqsjq... Differential Calculus #Part 7: https://www.youtube.com/watch?v=Y5xwK... Differential Calculus #Part 8: https://www.youtube.com/watch?v=tBgGq... ________________________________________________________________________ For Physics Classes: Quark Classes https://www.youtube.com/channel/UClgP... _______________________________________________________________________ #ritika #mathsworldbyritikasharma #adnvancedmaths #maths _______________________________________________________________________ Tags: #non homogeneous equation #complementary function #particular integral #definition of non homogeneous equation #method of finding solution of non homogeneous equation #solution of non homogeneous equation #maths #mathematics #advanced maths #hingher engineering maths #particular integral of exponential function #particular integral of trigonometric function #particular integral of polynomial function #maths world #maths world by ritika sharma #maths world by ritika