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Find the particular solution of the equation: e^xdy/dx=4 given that y=3 when x=0

Find the particular solution of the equation: e^xdy/dx=4 given that y=3 when x=0

Grade:6

2 Answers

Arun
25758 Points
4 years ago
Dear Students
 
dy/dx = 4/e^x
dy = 4 e-x dx
On integrating
y = - 4 e^-x + c
Put x = 0 and y = 3
c = 7
Hence
Eqn will be:
y = - 4 e-x + 7
 
Regards
Arun (AskIITians forum expert)
Herdtzson Welbvertz ANak Awi
13 Points
10 months ago
Determine the particular solution of the equation 𝑒
𝑥 𝑑𝑦
𝑑𝑥
= 4. Given that 𝑦 = 3 when
𝑥 = 0.

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