First Order Linear Differential Equations











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This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the equation in standard form [y' + P(x)y = Q(x)] and then identify the functions P(x) and Q(x). Next, you need to determine the integrating factor I(x) using the formula I(x) = e^(integral of P(x)dx). Finally, you can use another formula to find the general solution of the first order linear differential equation y = 1/I(x) [Integral(I(x)Q(x)dx + C]. This video contains plenty of examples and practice problems on solving first order linear differential equations. • Integration - Free Formula Sheet: • https://www.video-tutor.net/calculus-... • Differential Equations: • https://www.video-tutor.net/different... • ________________________________ • Improper Integrals: •    • Improper Integrals - Convergence and ...   • Integration Into Inverse Trig: •    • Integration into Inverse trigonometri...   • Integration of Rational Functions: •    • Integration of Rational Functions int...   • Integral of Logarithmic Functions: •    • Integral of Logarithmic Functions | C...   • Integrating Exponential Functions: •    • Integrating Exponential Functions By ...   • Integration Formulas: •    • Integration Formulas For Trig Substit...   • ________________________________ • Integration By Tables: •    • Integration By Tables   • Reduction Formulas - Integration: •    • Reduction Formulas For Integration   • Center of Mass Moments: •    • Moment, Center of Mass, and Centroid ...   • Center of Mass Centroid Problems: •    • Center of Mass   Centroid Problems - ...   • Hydrostatic Force Problems: •    • Hydrostatic Force Problems - Calculus 2   • Probability Density Functions: •    • Probability Density Functions   • _________________________________ • Normal Distributions - Calculus: •    • Normal Distribution   Probability Pro...   • Homogeneous Differential Equations: •    • Homogeneous Differential Equations   • 1st Order Linear Differential Equations: •    • First Order Linear Differential Equat...   • Bernoulli's Equation for Differential Equations: •    • Bernoulli's Equation For Differential...   • Slope Fields: •    • Slope Fields | Calculus   • ___________________________________ • Converging Diverging Sequences: •    • Converging and Diverging Sequences Us...   • Monotonic Bounded Sequences: •    • Monotonic Sequences and Bounded Seque...   • Calculus Final Exam and Video Playlists: • https://www.video-tutor.net/ • Full-Length Videos and Worksheets: •   / collections  

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