429. Find the general solution of the differential equation :
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430. Solve the differential equation :
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431. Solve the differential equation :
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D) С
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432. Solve the differential equation :
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433. Solve the differential equation :
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434. Solve the differential equation
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435. Solve the differential equation .
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436. Solve the differential equation :
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437. Solve the differential equation .
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438. Solve the differential equation .
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439. Solve the differential equation .
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440. Solve the differential equation .
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441. Solve the differential equation :
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442. Solve the differential equation :
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443. Solve the differential equation :
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444. Solve the differential equation :
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445. Find the general solution of the differential equation
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446. Find the general solution of the differential equation :
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447. Find the general solution of the differential equation
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448. Find the general solution of the differential equation
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449. Find the general solution of the differential equation
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450. Find the general solution of the differential equation
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B)
C)
D) y
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1. Solve the equation
À)arcsinx+arcsiny=c B) sinx+siny=c C) arcsinx+arctgy=c
D) arctgx+arctgy=c E) arcctgx+arcctgy=c
2. y1-2x=0 solve the differential equation :
А) y=х2+сВ) y= х2/2+сС) y=3х/4-1Д) y= х3/3+с Е) y= х3/6+с
3. solve the differential equation (xy2+x)dx+(x2y-y)dy=0
À) (x2-1)(y2+1)=0 B) (x2+1)(y2+1)=0 C) (x2-1)(y2-1)=0
D) (x2+1)(y2-1)=0 E) (x2-1)(y2-1)=0
4. solve the differential equation (y-x2y)dy+(x+xy2)dx=0
À) y2=c(1-x2)-1 B) y2=c(1-x2)-2 C) y2=c(1-x2)-3
D) y2=c(1-x2)-4 E) (x2-1)(y2-1)=0
5. solve the differential equation ydx+(1-y)xdy=0
À) xy=cey B) y=cey C) x=cey D) 2xy=cey E) 3xy=cey
6. solve the differential equation
2(xy+y)dx=xdy
À) y=cx2e2x B) y=cx3e2x C) y=cxe2x D) y=cx4e2x E) y=cx5e2x
7. solve the differential equation 3y-xy1=0
À) y=cx3 B) y=cx2 C) y=cx D) y=cx4 E) y=c/x
8. solve the differential equation y1-tgxy=0
À) y=c/cosx B) y=c/sinx C) y=csinx D)y=cosx/c E)y=sinx/c
9.
solve
the differential equation
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Д)
10.
solve
the differential equation
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11. solve the differential equation: 3y2dy=x2dx
À) y3=x3/3+c B) x3=y3/3+cC) y3=3x3+c D) y3=3/x3+c E) y3=x3+c
12. solve the differential equation: y11=1-2x
À) y=x2/2-x3/3+c1x+c2 B) y=2x2+3x3+c1x+c2 C) y=3x2-2x3+c1x+c2
D) y=x2-x3+c1x+c2 E) y=x2/3-x3/2+c1x+c2
13. solve the differential equation: y11=cosx
À) y=-cosx+c1x+c2 B) y=-sinx+c1x+c2 C) y=sinx+c1x+c2
D) y=2cosx+c1x+c2 E) y=1/2cosx+c1x+c2
14. solve the differential equation: y11=1-sinx
À) y=(1/2)x2+sinx+c1x+c2 B) y=(1/2)x2+c1x+c2 C) y=sinx+c1x+c2
D) y=(1/2)x2+cosx+c1x+c2 E) y=2x2+ cosx+c1x+c2
15. solve the differential equation: exy11=1/2
À)y=(1/2)e-x+c1x+c2) B) y=2e-x+c1x+c2 C) y=ex+c1x+c2
D) y=3ex+c1x+c2 E) y=(1/4)ex+c1x+c2
16. solve the differential equation: y11=e2x
A) y=(1/4)e2X+c1x+c2 B) y=4e2X+c1x+c2 C) y=(1/3)e2X+c1x+c2
D) y=3e2X+c1x+c2 E) y=e2X+c1x+c2
18.
solve
the differential equation:
А) tg7x+c B) cos37x+c С) Д) Е)
19. Find private decision:
y1tgx-y=1, if у=1at х=П/2
À) у=2sinx-1 B) у=2sinx-2 C) у=2sinx+2D) у=2sinx+3
20. Find private decision:
y1sinx=yLny, if у=1at х=П/2
À) y=1 B) y=2 C) y=3 D) y=4 E) y=5
21. Find private decision:
(1+y2)dx-xydy=0, if у=1at х=2
À) x2=2+2y2 B) x2=3+2y2 C) x2=4+2y2 D) x2=5+2y2 E) x2=6+2y2
22. Find private decision:
(2x+1)dy+y2dx=0, if у=1at х=0
À) y=(x+1)2 B) y=(x+1)3 C) y=(x+1)4 D) y=(x+1)5 E) y=(x+1)6
23. Find private decision:
(2x+1)dy+y2dx=0, if у=1at х=4
À) Ln(2x/9+1/9)=2(1/y-1) B) Ln(2x/9+1/9)=2(1/y-2)
C) Ln(2x/9+1/9)=2(1/y-3)D)Ln(2x/9+1/9)=2(1/y-4)
24. Find private decision:
dy-yctgxdx=0, if у=2 at t=П/2
À) y=2sinx B) y=3sinx C) y=sinxD) y=4sinx E) y=5sinx
25. Find private decision:
(1-y)dx+(1+x)dy=0, if у=3 at x=1
À) y=x+2 B) y=x+3 C) y=x+4 D) y=x+5E) y=x+6