Question

1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x...

1) Solve the given differential equation by separation of variables.

exy dy/dx = e−y + e−6x − y

2) Solve the given differential equation by separation of variables.

y ln(x) dx/dy = (y+1/x)^2

3) Find an explicit solution of the given initial-value problem.

dx/dt = 7(x2 + 1),  x( π/4)= 1

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