Verify that the function defined by y =...

Verify that the function defined by ` y = sinx - cosx` is a solution of the initial value problem `dy / dx = sinx +cosx`; such that `y(0) = -1`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions

Verify the solution problems: Show that y = e^-x + ax +b is solution o...
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For each of the following differential equations verify that the accom...
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Verify that the function defined by y = sinx - cosx is a solution of ...
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Show that the function varphi defined by varphi(x)=cos x\ (x in RR) ; ...
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For each of the following initial value problems verify that the accom...
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Solve: (dy)/(dx)=x/(x^2+1)
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Solve: (e^x+e^(-x))dy/(dx)=(e^x-e^(-x))
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Solve the following differential equation: (dy)/(dx)=x^2+x-1/x ,\ x!=0
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Solve the following differential equation: (dy)/(dx)+2x=e^(3x)
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Solve the following differential equation: (dy)/(dx)=(1-cos x)/(1+cosx...
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Solve the following differential equation: (dy)/(dx)=tan^(-1)x
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Solve the following differential equation: 1/x(dy)/(dx)=tan^(-1)x ,\ x...
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Solve the following differential equation: (sinx+cos x)dy+(cos x-sinx)...
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Solve the following differential equation: (dy)/(dx)-xsin^2x=1/(xlogx)
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Solve the following differential equation: sin^4x(dy)/(dx)=cosx
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Solve the following differential equation: sqrt(1-x^4)dy=x\ dx
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Solve the following differential equation: (1+x^2)(dy)/(dx)-x=2tan^(-1...
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Solve the following differential equation: (dy)/(dx)=xlogx
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Solve the following differential equation: (x^3+x^2+x+1)(dy)/(dx)=2x^2...
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Solve the following differential equation: (dy)/(dx)=x^5+x^2-2/x ,\ x!...
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