Find the general solution for each of the following differential equations.
Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+y=\cos x-\sin x$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+2 y=\sin x$ Solution: General solution is...
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Question: Find the general solution for each of the following differential equations. $x d y+\left(y-x^{3}\right) d x=0$ Solution: Therefore, integrating factor is...
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Question: Find the general solution for each of the following differential equations. $x d y-\left(y+2 x^{2}\right) d x=0$ Solution: Given Differential Equation :...
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Question: Find the general solution for each of the following differential equations. $\left(y+3 x^{2}\right) \frac{d x}{d y}=x$ Solution: $\underline{\text { Given Differential Equation : }}$...
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Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+\frac{4 x}{\left(x^{2}+1\right)} y+\frac{1}{\left(x^{2}+1\right)^{2}}=0$ Solution:...
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Question: Find the general solution for each of the following differential equations. $(1+x) \frac{d y}{d x}-y=e^{3 x}(1+x)^{2}$ Solution:...
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Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}+2 y=x^{2} \log x$ Solution:...
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Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}+y=x \log x$ Solution:...
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Question: Find the general solution for each of the following differential equations. $(x \log x) \frac{d y}{d x}+y=2 \log x$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}-y \tan x=e^{x} \sec x$ Solution:...
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Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}-y=(x-1) e^{x}, x0$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+8 y=5 e^{-3 x}$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+3 y=e^{-2 x}$ Solution: Where, integrating factor, Therefore general solution is...
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Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+2 y=6 e^{x}$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\left(x^{2}+1\right) \frac{d y}{d x}-2 x y=\left(x^{2}+1\right)\left(x^{2}+2\right)$ Solution: General solution is...
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Question: Find the general solution for each of the following differential equations. $\left(1-x^{2}\right) \frac{d y}{d x}+x y=a x$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\left(1-x^{2}\right) \frac{d y}{d x}+x y=x \sqrt{1-x^{2}}$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\left(1+x^{2}\right) \frac{d y}{d x}+2 x y=\frac{1}{\left(1+x^{2}\right)}$ Solution: Given Differential Equation :...
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Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}-y=x+1$ Solution: $\underline{\text { Given Differential Equation }}$ : I. F. $=e^{\int P d x}$...
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Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}-y=2 x^{3}$ Solution:...
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Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}+y=3 x^{2}-2, x0$ Solution:...
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Question: Find the general solution for each of the following differential equations. $2 x \frac{d y}{d x}+y=6 x^{3}$ Solution:...
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Question: Find the general solution for each of the following differential equations. $x \frac{d y}{d x}+2 y=x^{2}$ Solution:...
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Question: Find the general solution for each of the following differential equations. $\frac{d y}{d x}+\frac{1}{x} \cdot y=x^{2}$ Solution:...
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