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Differencial

Authored by Akgul Zhaksybai

Mathematics

University

Used 221+ times

Differencial
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50 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

y′−2y=e3xy'-2y=e^{3x}   теңдеудің жалпы шешімін табыңыз.

y=e3x+Ce2xy=e^{3x}+Ce^{2x}  

y=ex+Ce2xy=e^x+Ce^{2x}  

Ce2x+x2e2xCe^{2x}+x^2e^{2x}  

Ce2x+2e2xCe^{2x}+2e^{2x}  

y=Ce+(x+2)e2xy=Ce+\left(x+2\right)e^{2x}  

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

y′−yctg⁡x=sin⁡xy'-y\operatorname{ctg}x=\sin x   теңдеудің жалпы шешімін табыңыз

y=(x+C)sin⁡xy=\left(x+C\right)\sin x  

y=(x=C)cos⁡xy=\left(x=C\right)\cos x  

y=(x+C)tgxy=\left(x+C\right)tgx  

y=xcos⁡x+Csin⁡xy=x\cos x+C\sin x  

y=(x+C)ctg⁡xy=\left(x+C\right)\operatorname{ctg}x  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Коши есебін шешіңіз: y′−4xy=x, y(1)=12y'-\frac{4}{x}y=x,\ y\left(1\right)=\frac{1}{2}  

y=x4−x22y=x^4-\frac{x^2}{2}  

y=x4−x22y=x^4-\frac{x^2}{2}  

y=x4+x22y=x^4+\frac{x^2}{2}  

y=x2+x4y=x^2+x^4  

y=x2−x4y=x^2-x^4  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Бастапқы шартын қанағаттандыратын теңдеудің дербес шешімін табыңыз: xy′+y=0⟹x=−2, y=4xy'+y=0\Longrightarrow x=-2,\ y=4  

y=−8xy=-\frac{8}{x}  

y=8xy=\frac{8}{x}  

y=−4xy=-\frac{4}{x}  

y=4xy=\frac{4}{x}  

y=1xy=\frac{1}{x}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Теңдеудің жалпы шешімін табыңыз. y′−1xy=xy'-\frac{1}{x}y=x  

y=x2+cxy=x^2+cx  

y=x3+cxy=x^3+cx  

y=−x2+cxy=-x^2+cx  

y=2x2+cxy=2x^2+cx  

y=3x2+cxy=3x^2+cx  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Теңдеудің жалпы шешімін табыңыз. y′+2y=4xy'+2y=4x  

y=2x−1+ce−2xy=2x-1+ce^{-2x}  

y=2x+1+ce−2xy=2x+1+ce^{-2x}  

y=3x−1+ce−2xy=3x-1+ce^{-2x}  

y=2x−3+ce−2xy=2x-3+ce^{-2x}  

y=2x−4+ce−2xy=2x-4+ce^{-2x}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Теңдеудің жалпы шешімін табыңыз. y′+2xy=2xe−x2y'+2xy=2xe^{-x^2}  

y=(x2+c)e−x2y=\left(x^2+c\right)e^{-x^2}  

y=(x2+c)ex2y=\left(x^2+c\right)e^{x^2}  

y=(x2+c)e−xy=\left(x^2+c\right)e^{-x}  

y=(x2−c)exy=\left(x^2-c\right)e^x  

y=(x+c)e−x2y=\left(x+c\right)e^{-x^2}  

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