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State the degree of differential equation `e^((dy)/(dx)) + (dy)/(dx)` = x
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Since the given differential equation cannot be expressed as a polynomial in differential coefficients, the degree is not defined.
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Determine the order and degree (if defined) of the differential equation:
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y′′′ + 2y″ + y′ = 0
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y"' + y2 + ey' = 0
Determine the order and degree of the following differential equation:
`("d"^2"y")/"dx"^2 + "x"("dy"/"dx")` + y = 2 sin x
Determine the order and degree of the following differential equation:
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Choose the correct option from the given alternatives:
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Determine the order and degree of the following differential equation:
`("d"^2"y")/"dx"^2 + 5 "dy"/"dx" + "y" = "x"^3`
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State whether the following is True or False:
The power of the highest ordered derivative when all the derivatives are made free from negative and / or fractional indices if any is called order of the differential equation.
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Order of the differential equation representing the family of ellipses having centre at origin and foci on x-axis is two.
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The order and degree of the differential eqµation whose general solution is given by `(d^2y)/(dx^2) + (dy/dx)^50` = In `((d^2y)/dx^2)` respectively, are ______.
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The sum of the degree and order of the differential equation \[\sqrt{\frac{\mathrm{d}^{2}y}{\mathrm{d}x^{2}}}=\sqrt[5]{\frac{\mathrm{d}y}{\mathrm{d}x}-5}\] is
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