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Solve the followingdifferential equation :`(dy)/(dx)+2y=6e^x` |
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Answer» `dy/dx=P(x)=Q(x)` `IF=e^(intP(x)dx` `IF=e^(2dx)=e^(2x)` `y*(IF)=int(Q(x)IFdx``yxe^(2x)=int(6e^x)*e^(2x)dx` `y*e^(2x)=6inte^(3x)dx` `y*e^(2x)=6*e^(3x)/3+c` `y=2e^(x)+e^(-2x)C`. |
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