Differensial test 1.0

Berilgan tenglamaning tipini aniqlang:

(xcos y + y)dy + (sin y + x)dx = 0

• To'la differensial

• Bernulli

• Bir jinsli differensial tenglama

• y ga nisbatan chiziqli

Integrallovchi kopaytuvchi qanday tenglamalar uchun kiritiladi ?

• Chiziqli va to'la differensial

• Bernulli

• Bir jinsli differensial tenglama

• Rikkati

Berilgan tenglamani tipini aniqlang:

• Bernulli

• Chiziqli

• Bir jinsli differensial tenglama

• Rikkati

Ushbu masala qanday masala deyiladi

• Koshi masalasi

• Chegaraviy masala

• Variatsion masala

• To'g'ri javob yo'q

Berilgan tenglamani nomini aniqlang

• Chiziqli

• Bernulli

• O'zgaruvchilari ajraladigan

• Rikkati

Chiziqli erkli funksiyalar sistemasini aniqlang

• x , x², x³

• eˣ , 2eˣ , 3e ˣ

• x - 1, 2x - 2

• Bunday funksiya yo'q

Quyidagi funksiyalar sistemasining qaysi biri chiziqli bog'liq?

• sin2x, cos x

• 1, x, x²

• x, 3x, 6x

• eˣ , e²ˣ, e³ˣ

Quyidagi tenglamalarning qaysi biri Bernulli tenglamasi deyiladi:

• m(x)ydx + n (y)xdy = 0

• dy = f ( ax + by )dx

• a(y)x¹ + b(y)x = c(y)xⁿ

• mx(x)dx + n(y) dy = 0

Birinchi tartibli chiziqli differensial tenglama qaysi javobda to'gri ko'rsatilgan ?

• m(xy)dx + n(y)xdy = 0

• dy = f (ax + by)dx

• (y)x¹ + b(y)x = c(y)

• m(x)dx + n(y)dy = 0

Agar Rikkati tenglamasida y₁ xususiy yechimi ma'lum bo'lsa,

bu tenglama qanday almashtirish yordamida

yechiladi?

• y₁ = zx

• y₁ = zy

• y = z + y₁

• y = eᶻʸ¹