
Differensial test 2.0
Authored by RED DRAGONS GAMING
Mathematics
University
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39 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Birinchi tartibli chiziqli tenglamani aniqlang:
m(x)ydx + n(y)xdy = 0
dy = f(ax + by)dx
a(x)y¹ + b(x)y = c(x)
m(x)dx + n(y)dy = 0
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
dy = f(ax + by + c)dx tenglama qanday almashtirish yordamida o'zgaruvchilari ajralgan tenglama keladi?
y = zx
y = zxⁿ
z = ax + by + c
y = eᵃˣ
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
O'zgaruvchilari ajralgan tenglamani belgilang
m(x,y)dx + n(y)xdy = 0
dy = f(ax + by)dx
m(x)dx + n(y)dy = 0
a(x)y¹ + b(x)y = c(x)
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
yⁿ + 9y¹ = 0 tenglamaning umumiy yechimini toping:
y = c₁ + c₂e⁹ˣ
y = c₁e³ˣ + c₂e ⁻³ˣ
y=c₁cos3x + c₂sin 3x
y = c₁ + c₂e⁻⁹ˣ
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
3x² ydx + (x³ydx + (x³ - 3y²)dy = 0 teglamaning umumiy yechimini toping:
xy² + y = c
x²y² - y = c
xy - y² = c
x³y - y³ = c
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
y¹ + 2y = eˣ tenglamaning yechimini toping:
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Hususiy yechimi y₁ = xeˣ bo'lgan chiziqli o'zgarmas koeffisientli differensial tenglamani ko'rsating
yⁿ + 2yⁿ + y = 0
yⁿ - 2y¹ - 3y = 0
y¹ - y = 0
yⁿ - 2y¹ + y = 0
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