Question
Find a function $y=f(x)$ whose graph passes through the point (2,3) that also satisfies the differential equation $d y / d x=2 x-1$.
Step 1
We have $d y / d x=2 x-1$. We can rewrite this as $dy = (2x - 1)dx$. Show more…
Show all steps
Your feedback will help us improve your experience
Gregory Higby and 95 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The graph of a function $f$ is shown. Use the differential equation and the given point to find an equation of the function. $\frac{d y}{d x}=\frac{2 x}{\sqrt{2 x^{2}-1}}$
Integration
Integration by Substitution
The graph of a function f is shown. Use the differential equation and the given point to find an equation of the function. dy/dx = -24 / (4x + 9)^3 y(x) = (-1,3)
The graph of a function $f$ is shown. Use the differential equation and the given point to find an equation of the function. $\frac{d y}{d x}=18 x^{2}\left(2 x^{3}+1\right)^{2}$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD