Math Problem Statement
Find y as a function of x if its rate of change and boundary conditions are given below:
dydx= (x3+30xβ102)4(x2+10) , y=50,663 when x=3 .
Answer y as a function of x (keep the antiderivative in factored form):
y=
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Integration
Logarithmic and Trigonometric Functions
Formulas
dy/dx = (x^3 + 30x - 102) / 4(x^2 + 10)
y(x) = β« (x^3 + 30x - 102) / 4(x^2 + 10) dx
ln(x^2 + 10)
arctan(x/β10)
Theorems
Fundamental Theorem of Calculus
Logarithmic and Trigonometric Integration
Suitable Grade Level
College Level
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