Dive into a comprehensive tutorial on solving separable differential equations, covering topics from Stewart Calculus Section 9.3. Learn to derive exponential functions from differential equations, tackle various examples of separable equations, and apply these concepts to real-world mixing problems. Master techniques such as factor grouping, handling initial conditions, and solving complex integrals. Explore specific problems from Stewart Calculus, including population growth models and continuously stirred tank reactor (CSTR) applications in chemical engineering.
Stewart Calculus Solution - Differential Equation, Separable Equations
Overview
Syllabus
Exponential Function from Differential Equation.
Separable differential equation.
Separable differential equation, ex2.
Separable differential equation, (y+sin(y)) y'=x+x^3.
Separable differential equation, factor by grouping.
Separable differential equation with initial condition.
Q158, dP/dt=sqrt(Pt).
Q169, dP/dt=k(M-P).
integral of 1/((a-x)(b-x)).
Stewart Calculus, Sect 9 3 #40a.
Mixing Problem, differential equation, Sect 9 3 #45 Set up.
Stewart Calculus, Sect 9 3 #45 Solve.
mixing problem, CSTR, differential equation application.
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