The highest order derivative present in the differential equation is and its order is 2. Therefore, The correct option is option (A) .
Determine order and degree (if defined) of differential equations given in ${{(\frac{{{d}^{2}}y}{d{{x}^{2}}})}^{3}}+{{(\frac{dy}{dx})}^{2}}+\sin (\frac{dy}{dx})+1=0$ is: (A) 3 (B) 2 (C) 1 (D) Not defined
Given: ……….(i) This equation is not a polynomial in derivatives as is a T-function of derivative Therefore, degree of given equation is not defined. Hence, The correct option is option...
Determine order and degree (if defined) of differential equations given in \[\mathbf{y’’’}\text{ }+\text{ }\mathbf{2y’}\text{ }+\text{ }\mathbf{sin}\text{ }\mathbf{y}\text{ }=\text{ }\mathbf{0}\]
The highest order derivative present in the differential equation is and its order is 2. The given differential equation is a polynomial equation in derivative and . It may be noted that is not a...
Determine order and degree (if defined) of differential equations given in \[\mathbf{y’’’}\text{ }+\text{ }{{\left( \mathbf{y’} \right)}^{\mathbf{2}}}~+\text{ }\mathbf{2y}\text{ }=\text{ }\mathbf{0}\]
The highest order derivative present in the differential equation is and its order is 2. The given differential equation is a polynomial equation in derivatives and and the highest power raised...
Determine order and degree (if defined) of differential equations given in $y’+y={{e}^{x}}$
The highest order derivative present in the differential equation is and its order is 1. The given differential equation is a polynomial equation in derivative . It may be noted that is an...
Determine order and degree (if defined) of differential equations given in y’’’ + 2y’’ + y’ = 0
The highest order derivative present in the differential equation is and its order is 3. The given differential equation is a polynomial equation in derivatives and and the highest power raised...
Determine order and degree (if defined) of differential equations given in \[{{\left( \mathbf{y”’} \right)}^{\mathbf{2}}}~+\text{ }{{\left( \mathbf{y”} \right)}^{\mathbf{3}}}~+\text{ }{{\left( \mathbf{y’} \right)}^{\mathbf{4}}}~+\text{ }{{\mathbf{y}}^{\mathbf{5}}}~=\text{ }\mathbf{0}\]
The highest order derivative present in the differential equation is and its order is 3. The given differential equation is a polynomial equation in derivatives and the highest power raised to...
Determine order and degree (if defined) of differential equations given in $\frac{{{d}^{2}}y}{d{{x}^{2}}}=\cos 3x+\sin 3x$
The highest order derivative present in the differential equation is and its order is 2. The given differential equation is a polynomial equation in derivatives and the highest power raised to...
Determine order and degree (if defined) of differential equations given in ${{(\frac{{{d}^{2}}y}{d{{x}^{2}}})}^{2}}+\cos (\frac{dy}{dx})=0$
The highest order derivative present in the differential equation is and its order is 2. The given differential equation is not a polynomial equation in derivatives as the term is a T-function of...
Determine order and degree (if defined) of differential equations given in $({{\frac{ds}{dt}}^{4}})+3s\frac{{{\partial }^{2}}s}{\partial {{t}^{2}}}=0$
The highest order derivative present in the differential equation is and its order is 1. The given differential equation is a polynomial equation in derivative and the highest power raised to...
Determine order and degree (if defined) of differential equations given in y’+5y=0
Since, the highest order derivative present in the differential equation is y’, so its order is one. Therefore, the given differential equation is a polynomial equation in its derivatives. So, its...
Determine order and degree (if defined) of differential equations given in $\frac{{{d}^{4}}y}{d{{x}^{^{4}}}}+\sin (y”)=0$
The given differential equation is, ⇒ y”” + sin (y’’’) = 0 The highest order derivative present in the differential equation is y’’’’,Therefore, its order is three. Hence, the given differential...