Class XII Mathematics

Chapter 8: Differential Equations

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

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Worksheet Details:

  • Title: Class XII Math: Differential Equations Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class XII Mathematics: Differential Equations

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Linear Differential Equation
\frac{dy}{dx} + P y = Q
Integrating Factor
IF = e^{\int P \, dx}

Section II: Answer the Questions

1. Find the general solution of the differential equation: (xy -x2)dy =y2 dx.

Solve and write the step-by-step solution in the workspace below.

2. Find the particular solution of the differential equation (1 + e2x)dy + (1 + y2) ex dx = 0 given that y = 1 when x = 0.

Solve and write the step-by-step solution in the workspace below.

3. Find the general solution of the differential equation: y dx - x dy + (x log x) dx = 0.

Solve and write the step-by-step solution in the workspace below.

4. Find the general solution of the following differential equation; x dy - (y + 2x2)dx = 0

Solve and write the step-by-step solution in the workspace below.

5. Solve the differential equation: 2dyx y xdx - =

Solve and write the step-by-step solution in the workspace below.