Finding a Particular Solution In Exercises 51–54, find a function f that satisfies the differential equation and the initial conditions.
To calculate: The particular solution of differential equation
Given Information:
The differential equation is
Formula used:
The simple power rule of integration
Calculation:
Consider the differential equation,
Integrate the provided differential equation, use the constant rule of integration
Now, from the initial condition of the differential function
Substitute
Substitute
Substitute
Integrate the above differential equation
Precalculus: Mathematics for Calculus (Standalone Book)
Single Variable Calculus: Early Transcendentals, Volume I
Finite Mathematics and Applied Calculus (MindTap Course List)
Calculus: Early Transcendentals
Applied Calculus
Multivariable Calculus
Calculus: Early Transcendental Functions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Essentials Of Statistics
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Calculus (MindTap Course List)
Understanding Basic Statistics
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Probability and Statistics for Engineering and the Sciences
Finite Mathematics
Mathematical Applications for the Management, Life, and Social Sciences
Intermediate Algebra
Mathematical Excursions (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Elementary Technical Mathematics
Elementary Geometry For College Students, 7e
Contemporary Mathematics for Business & Consumers
Trigonometry (MindTap Course List)
Elements Of Modern Algebra
Calculus: Early Transcendental Functions (MindTap Course List)
Calculus of a Single Variable
Elementary Geometry for College Students
Finite Mathematics for the Managerial, Life, and Social Sciences
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Multivariable Calculus
Calculus (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Statistics for Business & Economics, Revised (MindTap Course List)
Mathematics For Machine Technology
College Algebra (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Introduction To Statistics And Data Analysis
Research Methods for the Behavioral Sciences (MindTap Course List)