Use partial fractions find the integration

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Reference no: EM131199299

INTRODUCTION TO MATHEMATICAL MODELLING ASSIGNMENT-

Q1. Find

(i) I = ∫(5x - 4)e^5x dx

(ii) I = ₀∫^π/2 (3x+7)sinx dx.

Q2. Use partial fractions to find I = ∫(3x-10/x²-8x+12)dx.

Q3. Solve dy/dx = 12x²√y; y(2) = 9.

Q4. Solve dy/dx + (5y/x) = 8(1+x²)/x⁴; y(1) = 3.

Reference no: EM131199299

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