SATHEE: Previous Year NEET Question- Solution

of differential equation Question 1. Solve the differential equation: $\frac{d y}{d x} = 2 x + y + 1$ .

Solution:

$\int \frac{d y}{d x} d x = \int (2 x + y + 1) d x$

$y = x^{2} + x y + x + C$

Question 2. Solve the differential equation: $\frac{d y}{d x} = 3 x^{2} + 2 x$ .

Solution:

$\int \frac{d y}{d x} d x = \int (3 x^{2} + 2 x) d x$

$y = \frac{3 x^{3}}{3} + x^{2} + C$

Question 3. Solve the differential equation: $\frac{d y}{d x} = x^{2} + 2 x y + 2 y^{2}$ .

Solution:

$\int \frac{d y}{d x} d x = \int (x^{2} + 2 x y + 2 y^{2}) d x$

$y = \frac{x^3}{3} + xy^2 + y^

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