Riccati Differentialgleichungen (DGL) Einfach erklärt | Erkennen, Beispiel lösen + AWP

Any equation containing a derivative is called a "differential equation" (DE). These equations are used, for example, in the natural sciences and economics to express changes in behavior. The Riccati DE is very similar to a first-order linear DE and also to a Bernoulli DE, or can be transformed into them. This video shows you how to recognize and solve Riccati DEs using a concrete example with initial values ​​(IVPs). Are you interested in weekly support with your exercises and homework in Analysis 1 & Linear Algebra 1? Then join our study groups! ... Math for Engineering: https://chat.whatsapp.com/EjzxiF8rA67... https://chat.whatsapp.com/CL3dvXnXe9d... Math for Bachelor's Degrees/Math for Teaching/Computer Science, Engineering: https://chat.whatsapp.com/GANQtu6V78W... Math in Economics: https://chat.whatsapp.com/L4iEb7WCaFc... If you need to prepare for a math exam, check out my online platform: https://champcademy.com. There you'll find courses, individual support, and everything you need to pass your exam. 🤓 ONLINE COURSES 🤓 25% discount on all my courses. Coupon code "MATHEPETER" TOPIC COURSES Statistics and Probability Theory https://champcademy.teachable.com/p/s... Complex Numbers https://champcademy.teachable.com/p/k... Sequences, Series, and Difference Equations https://champcademy.teachable.com/p/f... Differential Calculus https://champcademy.teachable.com/p/d... Limits of Functions https://champcademy.teachable.com/p/g... Integral Calculus https://champcademy.teachable.com/p/i... Multidimensional Integral Calculus https://champcademy.teachable.com/p/m... Functions with Multiple Variables https://champcademy.teachable.com/p/f... Extremum Calculation https://champcademy.teachable.com/p/e... Higher-Order Differential Equations https://champcademy.teachable.com/p/h... MODULE COURSES Mathematics in Economics https://champcademy.teachable.com/p/m... Math 1 Crash Course (adapted for Humboldt University of Berlin) https://champcademy.teachable.com/p/m... Math 2 LIVE Crash Course (for Humboldt University of Berlin) https://champcademy.teachable.com/p/m... Statistics 1 LIVE Crash Course (for Humboldt University of Berlin) Berlin) https://champcademy.teachable.com/p/s... Analysis 1 & Linear Algebra for Engineering (TU Berlin) https://champcademy.teachable.com/p/a... Analysis 2 for Engineering (TU Berlin) https://champcademy.teachable.com/p/a... BUNDLE All-In-One Complete Bundle https://champcademy.teachable.com/p/a... Topic Course Bundle https://champcademy.teachable.com/p/a... SOCIAL MEDIA https://linktr.ee/mathepeter   / mathepeter.tv     / discord   SCHEDULE https://kalender.digital/19534f26d000... AFFILIATE LINKS I receive a small commission for every purchase. The price remains the same for you: My Calculator https://amzn.to/2RbhKKj My Formula Book https://amzn.to/2WdVUtd ♥♥♥ ♜♞♝♛♚♝♞♜ ♥♥♥ ♟♟♟♟♟♟♟♟ --------------------------------------------------------------------- Would you like to support me? Patreon:   / mathepeter   PayPal: https://paypal.me/peterlehe1?locale.x... --------------------------------------------------------------------- ♙♙♙♙♙♙♙♙ ♥♥♥ ♖♘♗♕♔♗♘♖ ♥♥♥ Contents: 0:00 What is a Riccati differential equation? 0:38 Identifying Riccati ODEs (+Examples) 3:19 Solution Methods 4:49 Step 1: "Guessing" a Specific Solution 9:49 Steps 2 & 3: Substitution & Solving First-Order Linear ODEs 15:01 Summary: All Solutions to Riccati ODEs 16:46 Initial Value Problems (IVPs) 18:43 #ADVERTISEMENT