Answer:
Step-by-step explanation:
given,
y′′ + 4 y = 4 x
D² y + 4 y = 4 x
(D²+4) y = 4 x
now, writing Auxiliary equation
m² + 4 = 0
m² = -4
m = ± 2 i
now, complimentary function
a = 0 , b = 2
particular integral (y_p)
y_p = a x
y'_p = a
y"_p = 0
now,
y′′+ 4 y = 4 x
0+ 4 (a x )= 4 x
4 a x = 4 x
a = 1
now,
y_p = x
now, general equation
( square root 2) + 2
= 2+ square root 2
I hope that's help ! If you have questions please just let me know
Answer:
85%
Step-by-step explanation:
convert into a fractions aka a ratio 34 / 40
Given:
1st fraction - 7/24
2nd fraction - 34/48
Rules in dividing fractions:
1) Get the reciprocal of the 2nd fraction.
34/48 becomes 48/34
2) Multiply the 1st fraction to the reciprocal of the 2nd fraction
7/24 * 48/34 = 7*48 / 24*34 = 336/816
3) Simplify the fraction
336/816 ⇒ 112/272 ⇒ 56/136 ⇒ 14/34 ⇒ 7/17
336 ÷ 3 = 112
816 ÷ 3 = 272
112 ÷ 2 = 56
272 ÷ 2 = 136
56 ÷ 4 = 14
136 ÷ 4 = 34
14 ÷ 2 = 7
34 ÷ 2 = 17
7/24 ÷ 35/48 = 7/17
