Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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Group the terms of the equation
Multiplying the fraction by $-1$
Divide fractions $\frac{1}{\frac{-1}{\left(y-1\right)^2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
Divide fractions $\frac{1}{\frac{1}{\sqrt{x^2+4}}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
Integrate both sides of the differential equation, the left side with respect to
Solve the integral $\int-\left(y^2-2y+1\right)dy$ and replace the result in the differential equation
Solve the integral $\int\sqrt{x^2+4}dx$ and replace the result in the differential equation
Solve the integral $4\int\sec\left(\theta \right)^{3}d\theta$ and replace the result in the differential equation