如图求微分方程通解还是特解。 做(1和(2))的题目
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1.y’=(x-1)’/(X+1)+(x-1)×[1/(x+1)]'
=1/(x+1)+(x-1)×[-1/(x+1)²×(x+1)']
=1/(x+1)+(x-1)×[-1/(x+1)²]
=(x+1)/(x+1)²-(x-1)/(x+1)²
=2/(x+1)²
2.y'=2×(x5)'-3(x²)'+(5x)'
=2×5×x4-3×2x+5
=10x4-6x+5
3.y'=(2x+3)'(3x-2)+(2x+3)[(3x-2)']
=2(3x-2)+(2x+3)×3
=6x-4+6x+9
=12x+5
=1/(x+1)+(x-1)×[-1/(x+1)²×(x+1)']
=1/(x+1)+(x-1)×[-1/(x+1)²]
=(x+1)/(x+1)²-(x-1)/(x+1)²
=2/(x+1)²
2.y'=2×(x5)'-3(x²)'+(5x)'
=2×5×x4-3×2x+5
=10x4-6x+5
3.y'=(2x+3)'(3x-2)+(2x+3)[(3x-2)']
=2(3x-2)+(2x+3)×3
=6x-4+6x+9
=12x+5
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