CUET UG · Mathematics / Applied Mathematics (Domain)
Order, degree; solution of first-order first-degree, separable, homogeneous and linear DEs.
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Q1 · Differential Equations · EASY
What is the order and degree of the differential equation: (d²y/dx²)³ + 4(dy/dx)² + y = 0?
Q2 · Differential Equations · HARD
Solve the differential equation: dy/dx = (x + y)/(x - y).
Q3 · Differential Equations · MEDIUM
Find the general solution of the differential equation: dy/dx + y = e^(-x).
Q4 · Differential Equations · MEDIUM
Solve the differential equation: (x² + 1)dy/dx = 2xy with the initial condition y(0) = 3.
Q5 · Differential Equations · MEDIUM
The order and degree of the differential equation d²y/dx² + 3(dy/dx)² = x²log(d²y/dx²) are: