Mechanical Engineering > GATE 2026 > Partial Differential Equations
Consider the following differential equation
∂y/∂x = 3∂y/∂t + y
If y(x,0) = 10e−2x, then the solution of the differential equation is
A
y(x,t) = 10e−2x−t
B
y(x,t) = 10e−2x+t
C
y(x,t) = 10e−2x−2t
D
y(x,t) = 10e−2x+2t

Correct : b

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