Solve the following Linear differential ...

Solve the following Linear differential equations :
` cos x (dy)/(dx) + y sin x = 1 `

Text Solution

Verified by Experts

The correct Answer is:

` y = sin x + c cos x`

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PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -SOLUTION TO EXERCISE 10.7

Solve the following Linear differential equations : cos x (dy)/(dx)...
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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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Solve the following linear differential equation (dy)/(dx)+(y)/((...
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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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(dy)/(dx)+(3y)/(x)=(1)/(x^(2)), given that y = 2 when x = 1.
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