Answer:
How to solve your problem
−
7
2
−
2
2
+
3
−
2
+
5
3
−
2
-7y^{2}-2y^{2}+y^{3}y-2y+5y^{3}-2y
−7y2−2y2+y3y−2y+5y3−2y
Simplify
1
Combine exponents
−
7
2
−
2
2
+
3
−
2
+
5
3
−
2
-7y^{2}-2y^{2}+{\color{#c92786}{y^{3}y}}-2y+5y^{3}-2y
−7y2−2y2+y3y−2y+5y3−2y
−
7
2
−
2
2
+
4
−
2
+
5
3
−
2
-7y^{2}-2y^{2}+{\color{#c92786}{y^{4}}}-2y+5y^{3}-2y
−7y2−2y2+y4−2y+5y3−2y
2
Combine like terms
−
7
2
−
2
2
+
4
−
2
+
5
3
−
2
{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{4}-2y+5y^{3}-2y
−7y2−2y2+y4−2y+5y3−2y
−
9
2
+
4
−
2
+
5
3
−
2
{\color{#c92786}{-9y^{2}}}+y^{4}-2y+5y^{3}-2y
−9y2+y4−2y+5y3−2y
3
Combine like terms
−
9
2
+
4
−
2
+
5
3
−
2
-9y^{2}+y^{4}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}
−9y2+y4−2y+5y3−2y
−
9
2
+
4
−
4
+
5
3
-9y^{2}+y^{4}{\color{#c92786}{-4y}}+5y^{3}
−9y2+y4−4y+5y3
4
Rearrange terms
−
9
2
+
4
−
4
+
5
3
{\color{#c92786}{-9y^{2}+y^{4}-4y+5y^{3}}}
−9y2+y4−4y+5y3
4
+
5
3
−
9
2
−
4
{\color{#c92786}{y^{4}+5y^{3}-9y^{2}-4y}}
y4+5y3−9y2−4y
Solution
4
+
5
3
−
9
2
−
4
Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is
Differentiating with respect to x
Again differentiating with respect to x
Putting the value of y, y' and y'' in left side of the differential equation
The auxiliary equation is
The complementary function is
y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral
[since 
]
[ replace D by 0 , since L(0)≠0]
The complete solution is
y= C.F+P.I
Answer:
15 x 1 + 5 x 3 = 30
Step-by-step explanation:
If you turn the x into a one then it multiplies 15 by one and then it remains at 15, then you multiply 5 and 3 so that's 15 and then 15 + 15 is 30.
Answer:
take 16.03 and subtract 2.9
16.03-2.9=13.13
so maria used 13.13 gallons
Step-by-step explanation:
Use the Quadratic formula,
x= -b +/- sqrt(b^2-4ac)
-------------------------
2a
x= 4 +/- sqrt(16+12)
----------------------
-6
x = 4+/- sqrt(28)
---------------
-6
x = 4 +/- 2*sqrt(7)
------------------
-6
x= 2(2+/- sqrt(7))
------------------
2(-3)
x= 2+/- sqrt(7)
--------------
-3
