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Interactive Grade 12 Maths Advanced Calculus, Differential Equations & 1 more Test — Advanced Calculus & Differential Equations +1 more Practice

1.

For dy/dx = e^x, the general solution is?

A.y = e^x + CB.y = x·e^x + CC.y = e^(-x) + CD.y = ln(x) + C

2.

∫6e^x dx = ?

A.6e^x + CB.6xe^x + CC.e^(6x) + CD.6e^(x-1) + C

3.

Population grows at rate dP/dt = 5P. P(0) = 100. P(t) = ?

A.100e^(5t)B.100 + 5tC.100·5^tD.e^(5t)