Question: 6. (30 marks) Solve the following differential equations: (a) dy = e2y Inx ; y(1)=0 (10 marks) dx (b ) dy sin y = -;

6. (30 marks) Solve the following differential equations: (a) dy =

e2y Inx ; y(1)=0 (10 marks) dx (b ) dy sin y

6. (30 marks) Solve the following differential equations: (a) dy = e2y Inx ; y(1)=0 (10 marks) dx (b ) dy sin y = -; y(e) =n (10 marks) dx 2y - xcos y (c) x2 dy -+2x2 y = xle-2x; y(0) =1 (10 marks) dx

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