Consider the DE: 5 Σxi(y)+¹ +6x³y + xy + y" + 2y = e*tan x. a) Its order is b) Its degree is O D S P 4 P c) How many initial conditions are needed to find a particular solution for the DE? 4

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Chapter2: Second-order Linear Odes
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Please help with A , B and C

Consider the DE:
Σx/(y(1) ³+¹ +6x³y + xy' + y" + 2y = e*tan x.
j=4
a) Its order is
b) Its degree is
c) How many initial conditions are needed to find a particular
solution for the DE? 4
Transcribed Image Text:Consider the DE: Σx/(y(1) ³+¹ +6x³y + xy' + y" + 2y = e*tan x. j=4 a) Its order is b) Its degree is c) How many initial conditions are needed to find a particular solution for the DE? 4
Expert Solution
Step 1

The order of a differential equation is the highest order derivative in the differential equation 

The degree of the differential equation is the degree of the  highest order derivative 

The number of initial conditions to solve the differential equation is less than the order of differential conditions.

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