CUET UG · Mathematics / Applied Mathematics (Domain)

Differential Equations

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:

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