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Differential equations

Course: Differential equations > Unit 1

Lesson 5: Exponential models

Exponential models & differential equations (Part 1)
Exponential models & differential equations (Part 2)
Worked example: exponential solution to differential equation
Differential equations: exponential model equations
Newton's Law of Cooling
Worked example: Newton's law of cooling

Differential equations: exponential model equations

AP.CALC: FUN‑7 (EU), FUN‑7.F (LO), FUN‑7.F.1 (EK), FUN‑7.F.2 (EK), FUN‑7.G (LO), FUN‑7.G.1 (EK)

f, prime, left parenthesis, x, right parenthesis, equals, 4, f, left parenthesis, x, right parenthesis, and f, left parenthesis, 0, right parenthesis, equals, 10.

Solve the equation.

(Choice A)
f, left parenthesis, x, right parenthesis, equals, e, start superscript, 10, x, end superscript
(Choice B)
f, left parenthesis, x, right parenthesis, equals, 4, e, start superscript, 10, x, end superscript
(Choice C)
f, left parenthesis, x, right parenthesis, equals, 10, e, start superscript, 4, x, end superscript
(Choice D)
f, left parenthesis, x, right parenthesis, equals, e, start superscript, 4, x, end superscript

Stuck?

Differential equations

Course: Differential equations > Unit 1

Problem