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SURA PUBLICATION-ORDINARY DIFFERENTIAL EQUATIONS-EXERCISE 10.7(Solve the following Linear differential equations : )
- cosx(dy)/(dx)+ysinx=1
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- (1-x^(2))(dy)/(dx)-xy=1
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- (dy)/(dx)+(y)/(x)=sinx
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- (x^(2)+1)(dy)/(dx)+2xy=sqrt(x^(2)+4)
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- (2x-10y^(3))dy+ydx=0
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- x sinx(dy)/(dx)+(x cos x+sinx)y=sinx
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- (y-e^(sin^(-1)x))(dy)/(dx)+sqrt(1-x^(2))=0.
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- (dy)/(dx)+(y)/((1-x)sqrtx)=1-sqrtx.
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- (1+x+xy^(2))(dy)/(dx)+(y+y^(3))=0
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- (dy)/(dx)+(y)/(xlogx)=(sin2x)/(logx)
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- (x+a)(dy)/(dx)-2y=(x+a)^(4)
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- (dy)/(dx)=(sin^(2)x)/(1+x^(3))-(3x^(2))/(1+x^(3))y
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- x(dy)/(dx)+y=xlogx
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- x(dy)/(dx)+2y-x^(2)logx=0
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