Tag Archives: Equation

Population Differential Equations and Laplace Transform

Malthus Model : Total population : Birth-rate per capita : Death-rate per capita Solution to D.E.: where . Logistic Equation Logistic Case 1: Increasing population () The second expression can be derived from the first: divide by in both the … Continue reading

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Linear First Order ODE, Bernoulli Equations and Applications

Linear First Order ODE DE of the form: . Integrating factor: . (Remember to have a constant when integrating the numerator .) Integration by parts Acronym: LIATE (Log, Inverse Trig., Algebraic, Trig., Exponential), where L is the best choice for … Continue reading

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Trigonometric Identities and Differential Equations

Trigonometric Identities Reduction to Separable Form Equations of the form Set . Then and . Thus the original equation becomes which is separable. Linear Change of Variable can be solved by setting . Newton’s Law of Cooling Rate of change … Continue reading

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Maths Skills to be a Doctor

Doctor and Lawyer are the top two favourite careers in Singapore. Do doctors need to use Maths? Read the below to find out. Even if Maths is not directly needed, the logical thinking skills learnt in Mathematics will definitely be … Continue reading

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H2 Maths Tuition: Foot of Perpendicular (from point to plane) (Part II)

This is a continuation from H2 Maths Tuition: Foot of Perpendicular (from point to line) (Part I). Foot of Perpendicular (from point to plane) From point (B) to Plane ( ) Equation (I): Where does F lie? F lies on the … Continue reading

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