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chwala reacted to MidgetDwarf's post in the thread How Do You Solve the Differential Equation dy/dx = 1 - y^2? with
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Review integration by partial fractions for the integral involving y. -
chwala reacted to anuttarasammyak's post in the thread Problem involving ordinary differential equation with
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$$\ln 10 e^{y\ln 10 }dy = \frac{dx}{x}$$ $$e^{y\ln 10 } = \ln |x |+ C$$ $$y= \frac{\ln(\ln |x| + C)}{\ln 10}$$defined for $$|x|... -
chwala posted the thread Problem involving ordinary differential equation in Calculus and Beyond Homework Help.##10^y dy = \dfrac{dx}{x\ln 10}## ##\int 10^y dy = \int \dfrac{dx}{x\ln 10}## ... ##10^y = \ln x +C## ##10^y = \ln (ax)##... -
chwala reacted to neilparker62's post in the thread Solve the quadratic equation involving sum and product with
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The roots of the equation in part (i) are the same as the roots in part (ii). Since in both cases we have equations of the form ax^2 +... -
chwala reacted to Greg Bernhardt's post in the thread Insights AI Enriched Problem Solving with
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https://www.physicsforums.com/insights/ai-enriched-problem-solving/ Author: @neilparker62