Find the order and degree of the following differential equations.
\(\frac { dy }{ dx } +2y={ x }^{ 3 }\)

Find the differential equation of the following
y = cx + c − c³

Find the order and degree of the following differential equations
\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } +3{ \left( \frac { dy }{ dx } \right) }^{ 2 }+4y=0\)

Solve: (x² + x + 1)dx + (y²− y + 3)dy = 0

Solve: ydx − xdy = 0

Solve (D²−3D−4)y = 0

Solve 9y'' − 12y' + 4y = 0

Solve \(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } -4\frac { dy }{ dx } +5y\) = 0

Solve the following differential equations
\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } -6\frac { dy }{ dx } +8y=0\)

Solve the following differential equations
\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } -4\frac { dy }{ dx } +4y=0\)

Solve the following differential equations
(D²+2D+3)y = 0

Solve the following differential equations
\(\frac{d^2 y}{dx^2}-2k\frac{dy}{dx}+k^2y = 0\)

Solve the following differential equations: \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } +16y=0\)

Find the order and degree of the following differential equations.
\(\frac{d^{3} y}{d x^{3}}+3\left(\frac{d y}{d x}\right)^{3}+2 \frac{d y}{d x}=0\)

Find the order and degree of the following differential equations.
\(\frac { d^{ 2 }y }{ { dx }^{ 2 } } =\sqrt { y-\frac { dy }{ dx } } \)

Find the order and degree of the following differential equations.
\(\frac { { d }^{ 3 }y }{ d{ x }^{ 3 } } =0\)

Find the order and degree of the following differential equations.
\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } +y+{ \left( \frac { dy }{ dx } -\frac { { d }^{ 3 }y }{ dx^{ 3 } } \right) }^{ { 3 }/{ 2 } }=0\)

Find the order and degree of the following differential equations.
(2 - y'')² = y''² + 2y'

Find the order and degree of the following differential equations.
\({ \left( \frac { dy }{ dx } \right) }^{ 3 }+y=x-\frac { dx }{ dy } \)

Find the differential equation of the following
xy = c²

Find the differential equation of the following
x² + y² = a²

Solve: \(\frac { dy }{ dx } \) + e^x+ye^x = 0

Find the order and degree of the following differential equation
\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } -2\frac { dy }{ dx } +3y=0\)

Find the order and degree of the following differential equation
\(\frac { { d }^{ 2 }y }{ { dx }^{ 3 } } -3{ \left( \frac { dy }{ dx } \right) }^{ 6 }+2y={ x }^{ 2 }\)

Find the order and degree of the following differential equation
\({ \left[ 1+\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \right] }^{ \frac { 3 }{ 2 } }=a\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } }\)

Find the order and degree of the following differential equation
 y' + (y'')² = (x + y'')²

Find the order and degree of the following differential equation
\(\frac { { d }^{ 3 }y }{ { dx }^{ 3 } } -{ \left( \frac { dy }{ dx } \right) }^{ \frac { 1 }{ 2 } }=0\)

Find the order and degree of the following differential equation
\(y=2{ \left( \frac { dy }{ dx } \right) }^{ 2 }\)+ 4x\(\frac { dx }{ dy } \)