shanice13
12.12.2019 •
Mathematics
Solve the differential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.
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Ответ:
3.1 Pull out like factors :
Trying to factor a multi variable polynomial :-3x3y7 + x3y - 6y = -y • (3x3y6 - x3 + 6)
3.2 Factoring 3x3y6 - x3 + 6
Equation at the end of step 3 : -y • (3x3y6 - x3 + 6) = 0 Step 4 :Theory - Roots of a product :Try to factor this multi-variable trinomial using trial and error
Factorization fails
4.1 A product of several terms equals zero.
Solving a Single Variable Equation :When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
4.2 Solve : -y = 0
Multiply both sides of the equation by (-1) : y = 0
Ответ:
Step-by-step explanation: