Solve the differential equation cos^2(y) dx +(1+e^(-x) sin(y) dy=0

STPM Math T Sem.2:

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2 ways: sq root derivative 1/(√√(1/√x))

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trig Write each expression as an equivalent algebraic expression involving only x.

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integral ∫ x dx withOUT using Power rule.

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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GPT4: A tweet snippet from Michal Kosinski

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2nd/2parts: Linear interpolation (2 given points)

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exp integral ∫a^(√√x^3)/√√x dx

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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3 ways: Derivative x^(-1/x)

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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1st/parts: Derivative of the inverse circular functions

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expon directive a^f(x)

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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Emily 1960 (Tagalog Romance Film) Philippines

RITCHE DTV

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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]

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Solve √(2x-5) -√(x-2) = 2

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