MediumSeries

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.1 The Geometric Series, #37 · Calculus · Series

The equation … has the differential form

The equation $d y / d x = y^{2}$ has the differential form $d y / y^{2} = d x$ .
Integrate both sides and choose the integration constant
so that $y = b$ at $x = 0$ . Solve for $y (x)$ and compare with
Problem 36.

This exercise builds on another exercise in its source book, which isn't shown here.

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.1 The Geometric Series, #37

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.