Question: how to solve this equation ?? please Help me

4200000*(diff(T(x, t), t))-0.1e-2*(diff(T(x, t), x))^2-0.1e-2*(diff(T(x, t), x, x))*T(x, t)-.445*(diff(T(x, t), x, x))-158780+4200*T(x, t)-50000/(exp(x))^200 = 0

with boundry conditions:

u[0](0.3e-1, t) = 37

eval(diff(u[0](x, t), x), x = 0) = 0

u[0](x, 0) = 38.60952381-.3512039716*cosh(64.54972242*x)-.1079529471*sinh(64.54972242*x)+.9128092390*sinh(-1.936491673+64.54972242*x)

please help me , thanks

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