What’s on the Separable Equations poster?

5 numbered steps. For dy/dx = f(x)g(y), where the variables come apart. Check that it separates — The right side must factor as a function of x times one of y.; Separate the variables — Write dy/g(y) = f(x) dx, all the y one side and all the x th…; Integrate both sides — One constant of integration is enough. Put it on the x side.; Solve for y if you can — An implicit solution is still a solution. Do not force an ex…; Recover the lost solutions — Dividing by g(y) discarded the constant solutions where…. Worked: dy/dx = xy gives ln|y| = x²/2 + C, so y = A e^(x²/2), with A = 0 the solution that step two threw away.

Who is the Separable Equations poster for?

Separable Equations belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning differential equations can pin it up — a beginner, a student mid-course, or someone revising years later.

When should you use the Separable Equations poster?

The first thing to try on any first-order equation. A wall chart earns its place by being glanceable from where the work is happening, so Separable Equations belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.

What other posters go with Separable Equations?

Exact Equations, Existence & Uniqueness and Fourier Series sit alongside Separable Equations in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.

Is the Separable Equations poster free to download and print?

Yes. Separable Equations downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.

What size does the Separable Equations poster print at?

Separable Equations is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Separable Equations loses nothing.

Separable Equations — free printable poster

Separable Equations — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Separable Equations, step by step

For dy/dx = f(x)g(y), where the variables come apart.

Check that it separatesThe right side must factor as a function of x times one of y.
Separate the variablesWrite dy/g(y) = f(x) dx, all the y one side and all the x the other.
Integrate both sidesOne constant of integration is enough. Put it on the x side.
Solve for y if you canAn implicit solution is still a solution. Do not force an explicit form.
Recover the lost solutionsDividing by g(y) discarded the constant solutions where g(y) = 0.

Worked: dy/dx = xy gives ln|y| = x²/2 + C, so y = A e^(x²/2), with A = 0 the solution that step two threw away.

Questions about the Separable Equations poster

What’s on the Separable Equations poster?: 5 numbered steps. For dy/dx = f(x)g(y), where the variables come apart. Check that it separates — The right side must factor as a function of x times one of y.; Separate the variables — Write dy/g(y) = f(x) dx, all the y one side and all the x th…; Integrate both sides — One constant of integration is enough. Put it on the x side.; Solve for y if you can — An implicit solution is still a solution. Do not force an ex…; Recover the lost solutions — Dividing by g(y) discarded the constant solutions where…. Worked: dy/dx = xy gives ln|y| = x²/2 + C, so y = A e^(x²/2), with A = 0 the solution that step two threw away.
Who is the Separable Equations poster for?: Separable Equations belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning differential equations can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Separable Equations poster?: The first thing to try on any first-order equation. A wall chart earns its place by being glanceable from where the work is happening, so Separable Equations belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Separable Equations?: Exact Equations, Existence & Uniqueness and Fourier Series sit alongside Separable Equations in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Exact Equations Existence & Uniqueness Fourier Series
Is the Separable Equations poster free to download and print?: Yes. Separable Equations downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Separable Equations poster print at?: Separable Equations is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Separable Equations loses nothing.Printing guide

Separable Equations, step by step

Questions about the Separable Equations poster

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