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Diffеrеnsial tеnglama
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chеgaraviy shart
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1
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y''-4xcosxy'+sinxy=-sinx-4xcosx*sinx+sin2x
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y(0)=0
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y'(/2)=0
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2
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y''-5xy'-3cosxy=-sinx-5xcosx-3sinxcosx
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y(0)=0
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y(/2)=1
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3
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y''-y'+x3y=12x2-4x3+x7
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y(0)=0
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y(1)=1
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4
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y''-2x2y'+y=-cosx+2x2sinx+cosx
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y(0)=1
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y(/2)=0
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5
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y''+4xy'-2sinxy=ex+4xex-2sinxex
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y(0)=1
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y'(1)=e
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6
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y''+5x3y'-2y=6x+15x5 -2x3
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y(0)=0
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y'(1)=3
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7
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y''-3x3y' +5xy=20x3-15x7+5x6
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y(0)=0
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y'(1)=5
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8
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y''-exsinxy=-4sin2x-e2sinxsin2x
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y'(0)=2
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y(/2)=0
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9
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y''+20xy'+y=-sinx+20xcosx+sinx
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y'(0)=1
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y(/2)=1
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10
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y''+5xy'+y=cosx-5xsinx+cosx
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y'(0)=1
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y(/2)=1
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11
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Y''-2y' +x5y=20x3-10x4+x10
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y(0)=0
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y'(1)=5
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12
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y''+exy'+cosxy=ex+e2x +excosx
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y(0)=1
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y(1)=e
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13
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y''+3xy'-cosxy=ex+3xex -excosx
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y(0)=1
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y(1)=e
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14
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y''+4x3y'+exy=-4sin2x-8x3 cos2x+exsin2x
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y(0)=0
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y(/4)= 1
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15
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y''+exy'-sinxy=4e2x+2xe3x -e2xsinx
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y(0)=1
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y(1)=e2
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16
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y''-2y'-4sinxy=-cosx-2sinx-4cosxsinx
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y(0)=1
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y(/2)= 0
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17
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y''+2xy'-sinxy=-sinx+2xcosx-sin2x
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y(0)=0
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y(/2)= 1
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18
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y''+xy'+y=-9sin3x+3xcos3x+sin3x
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y(0)=0
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y'(/6)= 1
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19
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y''+2sin6xy'=12x2+8x3sin6x
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y'(0)=0
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y'(1)= 4
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20
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y''+4xy'+2y=9e3x+12xe3x +2e3x
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y(0)=1
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y'(1)=3e3
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21
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y''-2x3y'+exy=-cosx+2x3sinx+excosx
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y(0)=1
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y(/2)= -1
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22
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y''-3x2y'-cosxy=-cosx-3x2sinx-cos2x
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y(0)=1
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y(/2)= 0
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23
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y''-3y' -x3y=12x2-12x3-x7
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y(0)=0
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y'(1)=4
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24
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y''+excosxy=-sinx+ex cosxsinx
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y(0)=0
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y'(/2)=0
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25
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y''-exy'+cosxy=ex-e2x +cosxex
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y(0)=1
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y'(1)=e
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