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torovin2013
@torovin2013
August 2021
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Решите пожалуйста Дифференциальное уравнение)
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ShirokovP
Verified answer
X y ' - x = x^4
x dy/dx - x = x^4
x (dy/dx - 1) =x^4
dy/dx - 1 = x^4/x
dy/dx - 1 = x^3
dy/dx = x^3 + 1
dy = (x^3 + 1)dx
∫ dy = ∫ (x^3 + 1) dx
y = x^4/x + x + C
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Answers & Comments
Verified answer
X y ' - x = x^4x dy/dx - x = x^4
x (dy/dx - 1) =x^4
dy/dx - 1 = x^4/x
dy/dx - 1 = x^3
dy/dx = x^3 + 1
dy = (x^3 + 1)dx
∫ dy = ∫ (x^3 + 1) dx
y = x^4/x + x + C